Questions on Word Problems: Travel and Distance answered by real tutors!

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Question 80621: A rocket is launched straight up into the air from the ground with an initial speed of 64 ft/s. The height of the rocket (in feet) is given by the equation: h = 16t squared + 64t, where t is the time in seconds after launch. Find the time(s)when the rocket is at the ground level.
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Question 80830: Two vagabonds who are 200 miles apart travel towards each other. If they start at 2 p.m. and meet at 6 p.m., and one vagabond is traveling 10 miles per hour faster than the other, what are the speeds of both vagabonds?
I tried using rate x time = distance like our teacher said, and this is what i got::
((Vagabond A, Vagabond B))
..........(r)........(t)..=..d
A........x
B........x+10
total................4h.....200mi
Then i divided 200 by 4 and got 50, so I got 50 mph and 60 mph... am I right?
Thank You!
Jamie

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Question 81264: A car uses 3 gallons of gasoline on a trip of 39 miles. At that rate, how much gasoline will a trip of 65 miles require?Help me please?
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Question 81421: I don't know if I am putting this in the right area but I need your help I can not do this I have been trying for ever please help me?
The height h in feet of an object after t seconds is given by the function
h=-16t^2+90t+3
How long will it take the object to hit the ground? round your answer to the nearest thousandth.

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Question 81580: a car traveled at an average rate of 40 mph and then reduced its average rate to 30mph for the rest of the trip. if the 180 mile trip took five hour, determine how long the car traveled at each rate.
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Question 81580: a car traveled at an average rate of 40 mph and then reduced its average rate to 30mph for the rest of the trip. if the 180 mile trip took five hour, determine how long the car traveled at each rate.
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Question 81788: The Hudson River flows at a rate of 3mph. A patrol boat travels 60 mi upriver and returns in a time of 9 hr. What is the speed of the boat in still water?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 81850: A consultant traveled 10 hours to attend a meeting. The return trip took only 9 hours because the speed was 7 moles per hour faster. What was the consultant's speed each way?
Now, correct me if I am wrong, but wouldn't I also need a distance traveled in order to find the speed each way?

Click here to see answer by Earlsdon(6294) About Me 

Question 81907: During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
A) 38 B) 36 C) 27 D) 29

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Question 81907: During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
A) 38 B) 36 C) 27 D) 29

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Question 81960: At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 50 mi/hr. Two hours later, a second truck leaves along the same route, travelling at 75 mi/hr. When will the second truck catch up to the first?
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Question 82051: going skiing leon drove 270 miles to the lodge in the same time as pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than leon, then how fast did each of them drive.
Please give step by step instructions

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Question 82011: the speed of an airplane in still air is 224km/h. the plane travels 716 km against the wind and 1904 km with the wind in a total time of 12 hr. what is the speed of the wind?
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Question 82147: the speed of an airplane in still air is 257 mph. the plane travels 570 mi against the wind and 1780 with the wind in a total time of 9 hr. what is the speed of the wind?
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Question 82313: two trains left the same station at the same time and traveled in opposite directions. the E train avereged 130km/hr. The A train's speed was 110km/h. In how many hours were hey 480km apart?
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Question 82312: a train left a station traviling 100km/hr. a second train left 2 hr later and headed in the same direction at 125km/hr. After how many hours did the second train overtake the first train?
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Question 82311: leroy started his car at the rate of 50km/hr. one hour later, tina left from the same point driving along the same road at 75 km/h how long did it take her to catch up with leroy?
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Question 82309: two cars traveled in opposite directions from the same starting point. The rate of one car was 15km/h faster than the rate of the other car. After 2hr, the cars were 240 kn apart. find each car's rate?
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Question 82910: a boat can travel 9 miles up a river in the same ammount of time it takes to travel 11 miles down the same river. if the current is 2 miles per hour, what is the speed of the boat in still water?
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Question 82933: If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph
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Question 83155: A kayak wint up a river and back in 6 hours. If their rate up the river was 2 miles per hour and back 4 miles per hour, how far did they go up the river?
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Question 83155: A kayak wint up a river and back in 6 hours. If their rate up the river was 2 miles per hour and back 4 miles per hour, how far did they go up the river?
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Question 82988: a plane flying with the jet stream flew from los angeles to chicago, a distance of 2250 mi, in 5 h. flying aganst the jet stream, the plane couldfly only 1750 mi in the same amount of time. find the rate of the plane in calm air and the rate of wind.
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Question 83385: Hello! My problem is this:
You can travel 40 miles on a motocycle in the same time it takes to travel 15 miles on a bike. If the motocycle rate is 20 miles per hour faster than the bike, what is the average of each?
I know that t=d/r so
40/x+20 = 15/x
I am not sure how to proceed and I have to show my work. Thanks

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Question 83270: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth's place.
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Question 83265: A plane flies 720 mi against a steady 30 mi.h headwind and then returns to the same point with the wind. If the entire trip takes 10 hr what is the planes speed in still air?: A plane flies 720 mi against a steady 30 mi.h headwind and then returns to the same point with the wind. If the entire trip takes 10 hr what is the planes speed in still air?

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Question 83512: A passenger train travels 150 miles in the same time that a frieght train travels 100 miles. If the frieght train travels 20 mph slower than the passenger train, what is the speed of the passenger train?
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Question 83520: A motorist traveled from city A to city B at an average speed of 50 mph. On the return trip, he left at 3:00pm and drove at an average rate of 60 mph, making the trip in 33 minutes less time. What is the distance from city A to city B?
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Question 83625: a cruise boat travels 84 miles downstream in 2 hours and returns upstream in 6 hours find the rate of the stream
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Question 83625: a cruise boat travels 84 miles downstream in 2 hours and returns upstream in 6 hours find the rate of the stream
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Question 83625: a cruise boat travels 84 miles downstream in 2 hours and returns upstream in 6 hours find the rate of the stream
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Question 83704: Solve the problem and show the work.
Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10 miles with the wind, and in the same amount of time runs 7 miles against the wind. What is the rate of the wind.

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Question 83746: My first problem is out of the text book:
an inlet pipe can fill Reynaldo's pool in 5hr, while an outlet pipe can empty it in 8hr. In his haste to surf the Internet, Reynaldo left both pepies open. How long did it take to fill the pool.

The second question is the speed of a stream is 4mph. A boat travels 10 miles upstream in the same time it takes to travel 18 miles downstream. what is the speed of the boat in still water?

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Question 83811: Uniform Motion
Dave and Jane drove a total of 935 miles in 15.2 hours. Dave drove the first part of the trip and averaged 65 miles per hour. Jane drove the remainder of the trip and averaged 55 miles per hour. For what length of the time did Dave drive?

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Question 83831: A plane travels from city A to city B and it takes two hours...on the second trip the plane travels from city A to City B and it flys 10mph slower and it takes 2 1/2 hours...what is the distance from city A to city B?
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Question 84101: An object is projected directly upward from te ground. After t secconds. the distance (s) from the ground is given by the equation: s=144t- 16t to the 2nd power. After how many seconds will the object reach 324 feet above the ground?
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Question 84535: JOan took 20 min to drive her boat upstream to water ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 15 min. If the current in that part of the river is 5km per hr,what was her boat speed?
Click here to see answer by checkley75(3666) About Me 

Question 84537: Two cars start at an interstate interchange and travel in the same direction at average speeds of 40 miles per hour and 55 miles per hour. How much time must elapse before the wo cars are 5 miles apart
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Question 84880: Lois and Clark are covering separate stories and have to travel in opposite directions. Lois leaves the Daily Planet at 8:00 AM and travels at 35 mph. Clark leaves at 8:15 and travels 40 mph. At what time will they be 140 miles apart?
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Question 85218: Convert 60 miles per hour to feet per second.
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Question 85281: Ariana took 2 h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
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Question 85355: The relationship between the speed of a certain car over a 100-mi test trip and the gas mileage obtained:
speed 40 45 50 55 60
gas mileage 35 33 28 25 22
Make a line graph and then predict the gas mileage associated with a speed of 65mi/h

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Question 85430: The speed of a stream is 3mph. A boat travels 8 miles upstream in the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water?
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Question 85255: Sorry there is no ISBN of this textook.
"Will you solve this Word problem please"
1. A, B, and C can finish a job in 6 days. If B & C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job?

2. A bicyclist and a hiker leave at the same place at the same time and travel in the same direction. The bicyclist travel three times as fast as the hiker. at the end of 3 hr they are 24 miles apart. how fast does the hiker travel.

3. A person travelling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have travelled only 1315
miles in the same length of time. Find the speed of the plane and the ship.

Thank you so much.

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Question 85474: A runner practiced at a park near his home. His pedometer indicated that he ran 300 feet in 10 seconds. About how many minutes would it take hime to complete the mile?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620