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

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Question 860903: An airplane flew to San Diego with a tailwind and averaged 485 miles per hour. On the return trip the plane only averaged 275 miles per hour. find the speed of the wind and the speed of the plane in still air.
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Question 860930: Erin starts riding her bike. She is travelling at 10km/h. An hour after Erin starts, her sister, Makayla starts riding her bike. She is travelling at 16km/h. After how long (time) will Makayla catch up to her sister?
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Question 860931: Erin starts riding her bike. She is travelling at 10km/h. An hour after Erin starts, her sister, Makayla starts riding her bike. She is travelling at 16km/h. After how long (time) will Makayla catch up to her sister?
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Question 860957: Ben and Bob covered the same distance at 3 mph and 4 mph, respectively. If the difference between Ben's time and Bob's time is one third of an hour, what distance did they cover?
Thanks ahead for the help (:

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Question 860957: Ben and Bob covered the same distance at 3 mph and 4 mph, respectively. If the difference between Ben's time and Bob's time is one third of an hour, what distance did they cover?
Thanks ahead for the help (:

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Question 860968: A car uses 12 gallons of gas to travel 216 miles. Assuming the same type of driving, how many gallons of gas will be used on a 441 mile trip?
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Question 860964: a cyclist traveled 60 mi at a constant rate before reducing the speed by 7mph. Another 40 mi was traveled at the reduced speed. The total time for the 100-mile trip was 9 h. Find the rate during the first 60 mi.
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Question 860985: A boat that travels 18 miles/hour in still water can travel 22 miles downstream in the same time it can take 14 miles upstream. what is the speed of the current?
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Question 861136: An airplane travels 2400 miles in 4 hours. How fast did it travel




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Question 861136: An airplane travels 2400 miles in 4 hours. How fast did it travel




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Question 861144: A train travels 975 miles in 12 hours.how fast did it travel
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Question 861152: A car drives 50 miles east then 40 miles due north. How far is it from where it started
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Question 861017: It takes a small sprinkler 12 min longer to soak a lawn than it takes a large sprinkler. Working together, the sprinklers can soak the lawn in 8 min. How long would it take each sprinkler, working alone, to soak the lawn?
small sprinkler
______
min
large sprinkler ______ min.

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Question 861189: x+5=2x+7 i need help
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Question 861166: Maria is on her way home in her car. she has driven 36 miles so far, which is three-fourths of the way home. what is the total length of her drive?
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Question 861206: 7hrs to travel 203=
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Question 861339: a local bus travels 8 mph slower than the express bus. the express bus travels 60 miles in the same time it takes the local bus to travel 48 miles. find the speed of the local bus and the speed of the express bus.

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Question 861365: Two planes start from Manila Airport and fly in opposite direction. The second plane starts 0.5 hours after the first plane, but its speed is 80 km/h. Find airspeed of each plane if 2 hours after the first plane departs, the planes are 3200km apart.
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Question 861365: Two planes start from Manila Airport and fly in opposite direction. The second plane starts 0.5 hours after the first plane, but its speed is 80 km/h. Find airspeed of each plane if 2 hours after the first plane departs, the planes are 3200km apart.
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Question 860999: 'to move 3000000 people across 100 miles in 8 hours, how nany rows of people would you need'
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Question 861373: If a full freight train averages 30mph traveling to its destination and 40mph empty on the return journey then what is the train's average speed to the nearest tenth of a mile per hour for the entire trip?
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Question 861388: Please I need help solving this word problem.
One integer is 10 less than 3 times another. The sum of their squares is 100. What are the two integer
Here is how I set up my equation. x(10-3x)=100
10x-3x^2=100
10x-3x^2-100=0
3x^2-10x-100=0

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

Question 861391: A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round your answers
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Question 861397: A car starting from a standstill accelerates at a rate of 4 meters per second squared. How far, in kilometers, will the car travel in 20 seconds?
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Question 861393: Two trains leave the station at the same time, but headed in opposite directions. The first train travels 10mph faster than the second train. After six hours they are 720 miles apart. What are the speeds of the trains.
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Question 861458: The figure shows the elliptical orbit of Mercury, whose minimum distance to the Sun is 29 million miles and whose maximum distance to the Sun is 43 million miles. According to Kepler's laws, the average distance of a planet to the Sun is equal to half the length of the orbit's major axis. The average distance of Mercury to the Sun is million miles. (Enter only the number.)
I subtracted 43-29= 21.5 but I don't know if it is correct or not. Please Help!

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Question 861458: The figure shows the elliptical orbit of Mercury, whose minimum distance to the Sun is 29 million miles and whose maximum distance to the Sun is 43 million miles. According to Kepler's laws, the average distance of a planet to the Sun is equal to half the length of the orbit's major axis. The average distance of Mercury to the Sun is million miles. (Enter only the number.)
I subtracted 43-29= 21.5 but I don't know if it is correct or not. Please Help!

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

Question 861450: If car A is traveling at 50 mph, how fast will car B have to go to catch up to car A within 5 mile span.
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Question 861463: To reach her friend’s house, Samantha has to drive 9 miles north, turn left and drive 3 miles west, and then finally take another left and drive 3 miles south. What is the shortest distance between Samantha’s house and her friend’s house?

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Question 861488: If you walk 15 miles in 3 hours and 45 minutes, how fast did you go?
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Question 861498: A train travels at a constant speed of 125 kilometers per hour. How many
minutes does it take the train to travel 25 kilometers?

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Question 861498: A train travels at a constant speed of 125 kilometers per hour. How many
minutes does it take the train to travel 25 kilometers?

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Question 861413: joseph walk to James's house. it is 15 miles from joseph house to James's house. it took joseph 3 hours and 45 minutes to get to James's house. how fast did joseph go?
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Question 861525: If a boat travels 369 miles in 3 hours,what isits speed?
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Question 861521: I will travel 49 miles and nee to be at my destination in 70 minutes How fast must i drive?



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Question 861527: A plane flies 6 hours against the wind. The return trip takes 5 hours. The plane's speed is 550 mph. Find the wind speed and the distance.
thanks

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Question 861538: How long would it take to travel 2448 miles at 9.5 knots an hour?
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Question 861403: Question on Distance Rate and Time:
Matt walked at a rate of 4 mph. He turned around and ran at a rate of 8 mph. If he walked for 2 hours longer than he ran, how long did the whole trip take?

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Question 861147: an elephant travels 48 in 2 days.how fast did it travel
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Question 861670: a car travels at an average speed of 68 miles per hour. how many miles does it travel in 3 hours and 30 minutes.

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Question 861686: If I drove 25 miles an hour, how many miles did I drive a minute
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Question 861689: Two cars start at the same point in Virginia, and travel in opposite directions. After 4 hours, the two cars are 420 miles apart. Find speed of each car.
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Question 861759: are the square roots of all positive integers irrational ? If not,give an example of the square rood of a number that is a rational number.
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Question 861724: 1. A loco is traveling at 12km/h when brakes are applied and it takes the loco 6 seconds to come to rest. What is the average deceleration rate and is it with-in the required specification?
E-Mail adress: attievdm@areng.co.za

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Question 861765: A Motorist travels 90 kms. with the speed of 60 km/hr and the next 40 kms distance with the speed of 40 km/hr. what is his average speed during the journey?
1) 50kms/hr
2) 100kms/hr
3) 45kms/hr
4) 48kms/hr
My Solution:
Finding times for two cases by the formula Total Time = Total Distance / Avg. Speed
Case 1:
Time = 90kms / 60kms/hr = 1.5hrs
Case 2:
Time = 40kms / 40kms/hr = 1hr
Adding two times = 2.5hrs
Adding two distances = 130kms
We find avg speed = 130 / 2.5 = 52kms/hr
But the answer is wrong this way.
One more simple thing i did is find the average of = (40 kms/hr + 60 kms/hr)/2 = 50km/hr which is also wrong.
The Answer is 48km/hr. Please explain how.

Click here to see answer by richwmiller(17219) 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