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

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Question 713947: A projectile is launched straight up from the ground level with an initial velocity of 96 ft per second. Its height in feet, "s", after "t" seconds is given by the equation: s=16t^2+96t
a) At what time(s) will it reach a height of 80 feet?
b) After how many seconds will it return to the ground?
I haven't shown any work because it is a challenge problem that they are having us get "help" with to prepare for a later chapter, to get us thinking. I have been searching through the book and can't find a word problem that deals with velocity. Please help or at least help me understand how to even begin to solve it. Thank you!

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Question 713945: Quadratic Applications For Falling Bodies
An arrow is launched straight up in the air from the ground. It leaves the bow with an initial velocity of 80ft./sec
a. What is the maximum height it will reach?
b. When will it reach the maximum height?
c. when will it be 50 ft off the ground?
d. how high will it be after 2 seconds?
e. how long will it take for the arrow to come back down and hit the ground?

Click here to see answer by Alan3354(69443) About Me 

Question 714032: Two buses leave the same station at 7:00PM. One bus travels north at the rate of 30 kph and the other travels east at 40 kph. How many km apart are the buses at 8:00PM?
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Question 714084: how many seconds will it take me to travel 369 feet, if I am traveling at 25 miles per hour?
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Question 714085: How many seconds will it take me to travel 211 feet if I am traveling at 25 miles per hour?
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Question 714088: if a car was going 35mph, how long would it take to get 956 ft to your destination?
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Question 714086: How many seconds will it take to travel 369 feet if I am traveling at 25 miles per hour?
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Question 714087: How many seconds wil it take me to travel 211 feet if I am traveling 25 miles per hour?
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Question 714103: At a speed of 35km an hour, car takes 5 hrs for a journey, how long will it take at a speed of 45 km per hr to complete the journey
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Question 714117: I drive from town A to my home and then to town B.
The journey time is 30 minutes.
What is my average speed?
Show your working.

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Question 714161: A group of college students eager to get to Florida on a spring break drove the 639 mi trip with only minimum stops. They computed their average speed for the trip to be 55.5 mi/h. How many hours did the trip take?

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Question 714158: A salesperson purchased an automobile that was advertised as averaging 27mi/gal in the city and 38 mi/gal on the highway. A recent trip covered 2142 miles required 61 gallons of gasoline. Assuming that the advertised mileage estimates were correct, ho many miles were driven in the city?

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Question 714181: From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 5 miles per hour and fred ride 14 miles per hour. In how many hours will they be 57 miles apart?
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Question 714210: f a person is traveling at a speed of 50 m/s and they travel 500 meters how long were they traveling?
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Question 714244: A car travels for 30 minutes at a speed of 58 km/h. How far does the car travel?

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Question 714283: What is the gravitational force between following two objects: Object A is 7.0 X 10^30kg and Object B is 1.0 X 10^9kg. The two objects are 5,000 km apart.
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Question 714283: What is the gravitational force between following two objects: Object A is 7.0 X 10^30kg and Object B is 1.0 X 10^9kg. The two objects are 5,000 km apart.
Click here to see answer by Alan3354(69443) About Me 

Question 714341: If you're going 35 mph for 45 min how far have you traveled?
Click here to see answer by solver91311(24713) About Me 

Question 714436: how long does it take to travel 90 m?
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Question 714522: How far will a train travel if it is going at 80mph for half an hour?
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Question 714481: a car travels at 21x y^2 Kilometers per hour.
How far will the car travel in:
a. (2x+y) hours
b. (2x+1) hour
c. (y+2) hours
d. st

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Question 714253: Together, Sam and Alice can paddle a canoe across the bay in 15 minutes. When Alice paddles alone, it takes her 16 minutes longer than when Sam paddles alone. How long does it take each person to paddle across the bay alone?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 714542: Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the entire time, how long will it take her to get to the lake?
Click here to see answer by Alan3354(69443) About Me 

Question 714536: A car travels 49 miles in 1 hour and 45 minutes. What is the average speed of the car?
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Question 714547: a plane travels 70 feet in 1/10 second. At this same speed, how many feet will it travel in 3 1/2 seconds?
Click here to see answer by checkley79(3341) About Me 

Question 714574:
If a cyclist is traveling 28km/hr for a total of 210 minutes, how many kilometers will they travel?

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Question 714579: If a man is kayaking upstream, and the river has a velocity of 2km/hr downstream, how fast must the man paddle to move upstream at a velocity of 5km/hr?
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Question 714578: How long will it take a cheetah to travel 700 miles if they can run at an average speed of 50 miles per hour?
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Question 714725: On a map,5 inches represents 100miles. How many inches would there be between two cities that are 2,500 miles apart?
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Question 714725: On a map,5 inches represents 100miles. How many inches would there be between two cities that are 2,500 miles apart?
Click here to see answer by MathLover1(20849) About Me 

Question 714776: It takes guy 55 sec to run around a track. It takes henry 62 sec to do the same. If they started at the same point but ran in the opposite direction, how long would it take for them to meet each other?
Click here to see answer by josgarithmetic(39613) About Me 

Question 714815: A boat goes 6 Km upstream and back to the starting point in 2 hour . If the current of the stream runs at the rate of 4Km/h . Find the speed of the boat in still water?
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Question 714830: A private jet flies the same distance in 12 hours that a commercial jet flies in 9 hours. If the speed of the commercial jet was 198mph less than 2 times the speed of the private jet, find the speed of each jet.
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Question 714946: One car travels 45 miles per hour and another one travels 52 miles per hour. If they start in the same place at the same time, traveling in the same direction, after how many hours will the faster car be 42 miles ahead? If any tutor can answer this by 6:40 it will be really helpful because i am really confused. I appreciate any help i can receive!
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 714828: A car uses gasoline at a rate of 7.0 L/ 100 km in the city and 5.0 L/ 100 km on the highway. When the car travelled 600 km, it used 35.0 L of fuel.
a) How far did the car travel on the highway?
b) How far did the car travel in the city?
c) How much fuel did the car use on the highway?
d) How much fuel did the car use in the city?

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Question 714953: two cars, traveling to the same vacation home 400 miles away, leave at the same time. One car makes only one stop and ends up averaging 30MPH more than the other car and arrives three hours earlier. How fast were the two cars going?
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Question 714924: suppose you are canoeing along a river with a steady current. your average speed upstream is 2.5 mi/h. on the return trip you paddle with the current, and your average speed is 4 mi/h. find the average speed of the current and your average speed if you were paddling in still water

Click here to see answer by mananth(16946) About Me 

Question 714868: it takes a plane traveling at a rate of 450 mph 25 minutes longer to travel a certain distance than it takes a second plane traveling at a rate of 500mph to travel the same distance. what is the distance.
all I realy need or want is help seeing the set up, after that im ok

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Question 715153: if i drove 6 hours at an average rate of 57 miles per hour how many miles did i travelled?

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Question 715169: Pls help me solve this question. A school boy rides a bicycle along the street to his school at a speed of 5m per second. THANK YOU
Click here to see answer by Alan3354(69443) About Me 

Question 715178: Ivanna hiked up a mountain trail and camped overnight at the top. The next day she returned down the same trail. Her average rate traveling uphill was kilometers per hour and her average rate downhill was kilometers per hour. If she spent a total of hours hiking, how long was the trail?
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Question 715175: against the wind a small plane flew 175 miles in 1 hour and 10 minutes. The return trip took only 50 minutes. What was the speed of the wind? What was the speed of the plane is still air?





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Question 715110: 3. If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are ________?
a. 7 &16 mph b. 7&17 c. 6 &17 mph d. 6 &18 e. none

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Question 715143: A boat traveled 170 miles downstream and back. The trip downstream took 10 hours. The trip back took 34 hours. Find the speed of the boat in still water and the speed of the current.
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Question 715132: I need help with this word problem.
Two cars are in the same parking lot. The first car leaves the lot at 1:00pm and travels at an average speed of 40 mph down a highway. An hour later, at 2:00pm the second car leaves and travels at an average speed of 50 mph in the same direction on the same road. How many hours will the second car have to drive to catch up to the first car?

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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