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

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Question 1136880: One boat leaves Hawaii travelling 42 mph in the direction of 113 degrees. A second boat leaves the same dock travelling 58 mph in the direction of 63 degrees. If both boats maintain their speed for 4 hours, what is the distance, in terms of sine or cosine, between the two boats?

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Question 1136884: In 2hours 40minutes a car travels 160 kilometers. at what average speed is the car traveling
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Question 1136884: In 2hours 40minutes a car travels 160 kilometers. at what average speed is the car traveling
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Question 1136917: A car travelled a distance of 50km in an hour, what distance did it travelled in 30 minutes
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Question 1136911: A train and a plane both leave at the same time to travel to a city that is 360 miles away. The plane travels three times as fast as the train. The plane arrives 4 hours before the train. How fast is the train?
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Question 1136937: Jenny can run 2 miles per hour more than twice as fast as bob can walk. if bob can walk 3 miles in the same time it takes Jenny to run 7.2 miles, what is bobs walking speed?
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Question 1136937: Jenny can run 2 miles per hour more than twice as fast as bob can walk. if bob can walk 3 miles in the same time it takes Jenny to run 7.2 miles, what is bobs walking speed?
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Question 1136912: On the 30 question physics exam, correct answers are worth 5 points, incorrect answers are worth -2 points and unanswered questions are worth 0 points. Pat answers 23 of the questions and scores 73. How many questions did Pat answer correctly?
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Question 1136936: A jet airliner traveling with a 20 mile per hour tailwind covers 585 miles in the same amount of time it is able to travel 505 miles after the tailwind eases to 10 miles per hour. what is the speed of the airliner in still air?
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Question 1136951: The tuition fee and the residential fee at a certain university amount to R 28000 for the year the residential fee 5500 more than half the tuition. What is a tuition fee.
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Question 1137002: A transcontinental supersonic plane flies the 3,510 miles from New York to London in 2 hrs and 36 minutes. If the plane had an average air speed of 1,200 mi/he, determine the average wind speed and state whether it was a head wind or a tailwind
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Question 1137002: A transcontinental supersonic plane flies the 3,510 miles from New York to London in 2 hrs and 36 minutes. If the plane had an average air speed of 1,200 mi/he, determine the average wind speed and state whether it was a head wind or a tailwind
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Question 1137056: Tom lives 15 kilometers south of Jim. Jerry lives 20 kilometers north of Jim. How many kilometers from Jerry does Tom live?

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Question 1137059: Train A travels 50 miles/hour. Train A has been traveling for 25 minutes when train B set out in the same direction traveling 60 miles/hour. How long will it take train B to catch with train B to catch up with train A?
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Question 1137116: find the area 12 yards 12 yards 6 yards
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Question 1137133: Car and a Truck leave point A. The car leaves point A at 9am.The truck leaves 45 mintues earlier.Car's speed 120km/h and the truck's speed is 90km/h.How far away will they meet?...This is what i did.truck has a 67.5km head start.speed difference is 30km/h...far as i got ...can i have a step by step how to achieve this answer....Thanks tutors for all your wonderful help.
Click here to see answer by Theo(13342) About Me 

Question 1137148: When a plane flies with the wind, it can travel 420 miles in 1.5 hours. When the plane flies in the opposite direction, against the wind, it takes 2 hours to fly the same distance. Find the average velocity of the plane in still air and the average velocity of the wind.
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Question 1137160: Carl travels 8 km west from his house and then heads towards north to reach his school . If his displacement from his house to school is 10 km, how far did he travel north?
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Question 1137158: Ship A, sailing due east at 8 km/h, sights ship B 5 km to the southeast when ship B is sailing due north at 6 km/h. How close to each other will the two ships be when they pass?
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Question 1137249: A bus left Memphis travelling east at 55 mph. Two hours later, a second bus left Memphis going east at 65 mph. How long did it take the second bus to catch the first?
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Question 1137295: jimmy and his uncle left the shore in their boat from point A and continued on this course for 350 meters until they reached point B. After fishing there for awhile, they made a 90-degree turn and continued for 475 meters to point C.

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Question 1137307: Nickola swam at a rate of 2 ​km/hr and ran at a rate of 11 ​km/hr for a total distance traveled of  68.5 km. If he completed the race in 9.5 ​hours, how long did he take to complete each part of the​ race?
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Question 1137307: Nickola swam at a rate of 2 ​km/hr and ran at a rate of 11 ​km/hr for a total distance traveled of  68.5 km. If he completed the race in 9.5 ​hours, how long did he take to complete each part of the​ race?
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Question 1137306: Team Awesome starts hiking up from base camp which is located at 4400 feet at a steady rate of 600 feet/hour. At the same time, team cool, which has hiked up earlier, leaves the top of the peak at 8900 feet and starts hiking down at a steady rate of 900 feet/hour. After how many hours do the two teams pass each other ?
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Question 1137364: When a plane flies with the​ wind, it can travel 920 miles in 2 hours. When the plane flies in the opposite​ direction, against the​ wind, it takes 4 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind.
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Question 1137365: It was not, thank you for catching that! Here it is A kayak can travel 30 miles downstream in 5 ​hours, while it would take 15 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
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Question 1137365: It was not, thank you for catching that! Here it is A kayak can travel 30 miles downstream in 5 ​hours, while it would take 15 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
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Question 1137361: A kayak can travel 30 miles downstream in 5 ​hours, while it would take 15 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
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Question 1137362: An electronics company makes two types of switches. Type A takes 4 minutes to make and requires ​$3 worth of materials. Type B takes 5 minutes to make and requires ​$5 of materials. In the latest production​batch, it took 32 hours to make these​ switches, and the materials cost ​$1740. How many of each type of switch were​ made?
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Question 1137379: Alexander is riding his bicycle to school. After one mile , he is 1/3 of the way there. At the school he turns around and rides home. After he has ridden a total of 4 miles, how far from home is he?
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Question 1137379: Alexander is riding his bicycle to school. After one mile , he is 1/3 of the way there. At the school he turns around and rides home. After he has ridden a total of 4 miles, how far from home is he?
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Question 1137380: Solve (x + 2 < 5) ∩ (x - 7 > -6).
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Question 1137355: Emma launches her boat from point A on a bank of a straight river, 3km wide, and wants to reach Point B (8km downstream on the opposite bank) as quickly as possible.
She could proceed in any of three ways:
- (a) Row her boat directly across the river to Point C and then run to B
- (b) Row directly to B
- (c) Row to some point D between C and B, and then run to B
If she can row 6km/h and run 8km/h, where should she land to reach B as soon as possible?
Note: We assume that the speed of the water is negligible compared with the speed at which she rows.

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Question 1137355: Emma launches her boat from point A on a bank of a straight river, 3km wide, and wants to reach Point B (8km downstream on the opposite bank) as quickly as possible.
She could proceed in any of three ways:
- (a) Row her boat directly across the river to Point C and then run to B
- (b) Row directly to B
- (c) Row to some point D between C and B, and then run to B
If she can row 6km/h and run 8km/h, where should she land to reach B as soon as possible?
Note: We assume that the speed of the water is negligible compared with the speed at which she rows.

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Question 1137447: jada elana and lin walked a total of 37 miles last week. jada walked four more miled then elana and lin walked two more miles then jada

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Question 1137493: Two trucks Truck A and truck B are driving across the country taking the same route. After 1 day truck A was 117 miles behind truck B. The next day truck A drove 185 miles more than truck B. The third day truck B drove 48 miles more miles than truck A. Where is truck A in relation to truck B after the third day?

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Question 1137496: Karin can run 3 miles per hour faster than her sister Kim can walk. If Karin ran 12 miles in the same time it took Kim to walk 8 miles, what is the speed of each sister in this case?
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Question 1137496: Karin can run 3 miles per hour faster than her sister Kim can walk. If Karin ran 12 miles in the same time it took Kim to walk 8 miles, what is the speed of each sister in this case?
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Question 1137526: It takes Burt three times as long as Phong to set up a new alarm system. Together they can set it up in 90 minutes. HOW LONG WOULD IT TAKE PHONG to set up the alarm system by himself?
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Question 1137460: What will be the time (in seconds) taken by a small stone to reach the surface of the Earth if it is dropped from a height R/4 where R = 6 400 km, Mass of Earth =6 x 10^24 kg.
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Question 1137633: Team infinite dimensions canoed 15 3/4 miles in 3 hours. What was their average rate of speed in miles per hour
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Question 1137642: One month Rita rented 3 movies and 5 video games for a total of $41 . The next month she rented 12 movies and 2 video games for a total of $65 . Find the rental cost for each movie and each video game.
How many seconds will pass before the planes are at the same altitude?
Seconds?
What will their altitude be when they're at the same altitude?
Feet?

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Question 1137814: A salesman drives from Ajax to Barrington, a distance of 130 mi, at a steady speed. He then increases his speed by 10 mi/h to drive the 158 mi from Barrington to Collins. If the second leg of his trip took 2 min more time than the first leg, how fast was he driving between Ajax and Barrington?
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Question 1137863: Mathematical answer for an inequality for cross country runner finish course in 5 minutes or less.
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Question 1137919: Help me solve please: the formula c=5/9(f-32) expresses the relationship between Fahrenheit temperatures F and Celsius temperature C. use this formula to convert 5 degrees farenheit to its equivalent temperature on the Celsius scale.
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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, 37621..37665, 37666..37710