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

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Question 809087: Two cars (F and G) leave simultaneously from the same point O. Car F goes east at an average speed of 60 km/h, while car G goes southwest at an average speed of 80 km/h. How far apart are the cars after one hour?
How do I solve this problem with the Law of Cosines?
Thank you very much for your help.

Click here to see answer by solver91311(24713) About Me 

Question 809112: A plane fills its fuel tank with 45 liters of fuel. The plane burns fuel at a rate of 12 liters per hour. The plane's average speed is 85 kilometers per hour. How far can the plane travel in order to have 3 liters of fuel remaining in its tank when it refuels? Round your answer to the nearest tenth of a kilometer.

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Question 809206: if a roller coaster travels 1.2 miles per minute how long does it take to travel 1.5 miles
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Question 809232: A plane travels 1200 mi with the wind in 2 hours. The return trip against the wind takes 3 hours. Find the rate of speed of the plane in still air.
*Only trying to find rate of speed of plane in still air, not wind speed*

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Question 809208: The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
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Question 809252: 25mi/hr=____miles/minutes
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Question 809252: 25mi/hr=____miles/minutes
Click here to see answer by Edwin McCravy(20060) About Me 

Question 809265: A boat is traveling at an average speed of 15 meters per second. How many kilometers is the boat traveling?

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Question 809265: A boat is traveling at an average speed of 15 meters per second. How many kilometers is the boat traveling?

Click here to see answer by richwmiller(17219) About Me 

Question 809308: A manatee travels 5 miles in 1 1/4 hr. How far will he travel in 1 hour?
Click here to see answer by Alan3354(69443) About Me 
Question 809308: A manatee travels 5 miles in 1 1/4 hr. How far will he travel in 1 hour?
Click here to see answer by TimothyLamb(4379) About Me 

Question 809212: If a plane is 1.5 hours, what's the average speed in miles?
Click here to see answer by Alan3354(69443) About Me 

Question 809333: When a plane flies from Detroit to Denver it has to fly into the wind and the trip takes 4 hours. On the return trip, it will take only 3.5 hours because the plane is flying with the wind. If the distance between Detroit and Denver is 1120 miles, what was speed of the airplane in still air? What was the speed of the wind?

Click here to see answer by TimothyLamb(4379) About Me 
Question 809333: When a plane flies from Detroit to Denver it has to fly into the wind and the trip takes 4 hours. On the return trip, it will take only 3.5 hours because the plane is flying with the wind. If the distance between Detroit and Denver is 1120 miles, what was speed of the airplane in still air? What was the speed of the wind?

Click here to see answer by josmiceli(19441) About Me 

Question 809335: A train travels a distance of 48 miles. It took 34 minutes. What was the average speed of the train?

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Question 809335: A train travels a distance of 48 miles. It took 34 minutes. What was the average speed of the train?

Click here to see answer by TimothyLamb(4379) About Me 

Question 809337: Kent drives his Mazda 312 miles in the same time that it takes Dave to drive his Nissan 270 miles. If Kent averages 7 miles per hour faster than Dave, find their rates.
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Question 809415: how long does it take to travel 150 miles at a rate of 60 mi/h?
Click here to see answer by erica65404(394) About Me 

Question 809412: A truck traveled the first 165 miles of a trip at one speed and the last 100 miles at an average speed of 5 miles per hour less. The entire trip took 5 hours. What was the average speed for the first part of the trip?
Click here to see answer by mananth(16946) About Me 

Question 809429: Please I really need help on how to solve this word problem.
Monica's motorboat took 5hr to make a trip downstream with a 6-mph current. The return trip against the same current took 8 hr. Find the speed of the boat in still water.

Click here to see answer by josgarithmetic(39625) About Me 

Question 809448: Chang runs 7 miles in 50 minutes. At the same rate, how many miles would run 75 minutes?
Click here to see answer by TimothyLamb(4379) About Me 

Question 809449: a car travels 250 miles in 5 hours. how far can it travel in 7 hours
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Question 809411: Travelling downstream, a boat can go 54 km in 3 hours. Going upstream, it takes twice as long to travel only 60 km. What is the speed of the boat in still water and what is the speed of the current?
Click here to see answer by TimothyLamb(4379) About Me 

Question 809427: Two boats leave from the same point at the same time. One boat travels due east and the other travels due
north. One boat travels 6 kilometers faster than the other. After 4 hours, the boats are 67 kilometers apart.
a. Let x be the speed of the slower boat. Write a quadratic equation that models the
situation.
b. What are the solutions, to the nearest hundredth?
c. What are the speeds of the boats? Round your answers to the nearest hundredth.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 809746: max is travelling to a store that is 20km away. He will be travelling at 50 km/h, how long will it take him to get there? at first, I got the answer as 20 minutes but, according to the answer key, the answer is 24! I would like to know the steps on how to come to the answer
Click here to see answer by richwmiller(17219) About Me 

Question 809753: Tony is 12 mile ahead of Laura on a jogging path.
If Tony is running at 5 miles per hour, and Laura is running at 7 miles per hour, how long will it take Laura to catch up with Tony?

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Question 809758: solve for y
y+3x=8

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Question 809784: One car tested can travel 780km on a tank of gasoline. How long should the car be able to travel at 65 km/h before it runs out of gas? If the car has a 53-L tank, then what is the average mileage of the vehicle?
Click here to see answer by josgarithmetic(39625) About Me 

Question 809814: a truck can travel 320 miles in the same time that it takes a car to travel 400 miles if the truck's rate is 10 miles per hour lower than the car's, find the rate for each
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Question 809819: john is driving to another town to visit his friend. He is driving at an average speed of 45 miles per hour. If john continues to drive at this same rate,how many miles will he travel in 30 minutes
Click here to see answer by TimothyLamb(4379) About Me 
Question 809819: john is driving to another town to visit his friend. He is driving at an average speed of 45 miles per hour. If john continues to drive at this same rate,how many miles will he travel in 30 minutes
Click here to see answer by richwmiller(17219) About Me 

Question 809786:
A cabin cruiser leaves a harbor and travels to a small island at an average speed of 24 mph. On the return trip, the cabin cruiser travels at an average speed of 16 mph. The total time for the trip is 4 hours. How far is the island from the harbor?

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Question 809757: A delivery truck leaves a town traveling at 35 miles/hour. An hour later an emergency vehicle sets off after the truck from the same place. It takes the same route as the truck but travels at 55 miles/hour. How long will it take the emergency vehicle to catch up with the truck?

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Question 809741: Wws biker is 92 m from the finish line and the leader is 72 m from the finish line. The leader is going a constant velocity of 3.8 meters per second. What velocity must the wws fighter go to beat the leader by 2 m?
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Question 809388: A car started out from boston to New York at the rate of 55 miles per hour. A second car left from the same point 2 hours later and drove along the same route at 75 miles per hour. How long did it take the second car to overtake the first car?

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Question 809850: John and Susan leave their homes at 8:00 a.m., going toward each other along the same route, which is 18 miles long. John walks at 4 mph while Susan jogs at 8 mph. At what time will they meet?
Click here to see answer by mananth(16946) About Me 

Question 809861: If a car can go 300 feet in 15 seconds, how fast is this in miles per hour?
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Question 809863: lula rode her bike at a constant speed for 5 hours. During that time she traveled 7.2 miles. What was lula's riding speed?
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Question 809904: How many ounces of a 40% alcohol solution should be mixed with 48 oz of a 70% alcohol solution to produce a 60% alcohol solution?
Click here to see answer by richwmiller(17219) About Me 

Question 809865: Elijah & his family averaged 62 miles per hour on a 6 hour trip. If they averaged 65 miles per hour for the first 5 hours, what was their average speed during the last hour?
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Question 809930: Nacy left London traveling at forty MPH. Tom to catch up left some time later driving at forty - nine MPH Tom caught up after four hours how long was nacy driving before Tom caught up?
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Question 809929: [Nancy left London traveling at 40 MPH. Tom to catch up left some time later driving at 49 MPH Tom caught up after 4 hours how long was Nancy driving before Tom caught up?]
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Question 809926: An airplane is flying at a speed of 500 km/h when it encounters a jet stream moving in the same direction at 150 km/h. If the plane flies with the jet stream, how much farther will the plane travel in 1.5 h

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Question 809938: A woman on foot leaves a restaurant heading west at noon. Three hours later, a man on a bicycle leaves the resturant pedaling west at a rate of 12 miles per hour. at six o clock that evening, a woman on a scooter leaves the resturant driving west at a speed of 39 miles per hour. if the first woman was walking at a rate of 3 miles per hour, calculate the distances below.
A. how far from the resturant will the woman on foot be when the man on the bicycle reaches her?
B. How long will it take for the woman on the scooter to reach the woman on foot?
C. How far from the resturant will the man on the bicycle be when the woman on the scooter reaches him

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Question 809934: An accountant rides a bus part of the way to work every day and walks the rest of the way. The bus averages 38 mph, and the accountant walks at a speed of 5 mph. The distance from home to work is 21 mi, and the total time for the trip is 3 hr. Find how far the accountant walks and how far he rides the bus.
Click here to see answer by josgarithmetic(39625) About Me 

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