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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 353635: One train runs 90% of the time and goes 55 mph any time it runs (no acceleration lag time) Another train runs 10% of the time. How fast does this train have to go (mph) to exceed the distance of the other train?
Click here to see answer by edjones(8007)

Question 353089: In a two canidate election 1400 votes were cast. If 30 votes had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each canidate actually receive?
Click here to see answer by Fombitz(32388)

Question 344581: Choose the best answer to the following question. If 32% of R is 48, what is R% of 48?
Click here to see answer by jahandkeh(1)

Question 353675: A boat traveled 208 miles downstream and back. The trip downstream took 8 hours. The trip back took 26 hours. What is the speed of the boat in still water? What is the speed of the current?
Click here to see answer by Fombitz(32388)

Question 353736: Two cars leave towns 800 kilometers apart at the same time and travel toward each other. One car's rate is 18 kilometers per hour less than the other's. If they meet in 5 hours, what is the rate of the slower car?
Click here to see answer by rfer(16322)

Question 353719: After walking a distance of 6 miles at a certain rate, a man decided to increase his rate per hour by 1 mile and walked 5 miles farther. Had he walked the entire distance of 11 miles at his former rate, his time would have been 15 minutes longer. Find his former rate.
Click here to see answer by stanbon(75887)

Question 353760: How far upstream can a canoer travel at 8 mi/hr and still return downstream at 12mi/hr in a total of 4 hours?
Let t = the time to travel upstream.
4-t = the time to travel downstream.
Ideal for equation:
Distance traveled upstream = Distance traveled downstream
Click here to see answer by mananth(16946)

Question 353767: TWO CARS LEAVE AN INTERSECTION AT THE SAME TIME. ONE TRAVELS NORTH AND THE OTHER HEADS SOUTH TRAVELING 10MPH FASTER. AFTER ONE HOUR, THEY ARE 50 MILES APART. WHAT WERE THEIR SPEEDS?
Click here to see answer by mananth(16946)

Question 353776: Carlo starts out in his car traveling at 48 kilometers per hour. Two hours later, Paolo stars out from the same place at 60 kilometers per hour to overtake Carlo. In how many hours will Paulo overtake Carlo?
Click here to see answer by Fombitz(32388)

Question 353774: Two men start driving toward each other at the same time from points 816 km apart. If they travel at 64 kilometers per hour and 72 kilometers per hour, respectively, in how many hours will they meet?
Click here to see answer by Fombitz(32388)

Question 353603: A young woman decides to drive to her Grandma's house, which is 120 miles away. Because she's not particularly eager to get there, she gets on the highway and sets the cruise control for 40 miles an hour.
She drives 120 miles to Grandma's house. Her new car has a little computer that tells her that her average speed is 40 miles an hour.
When she gets there, she talks to Grandma and high tails it out of there; she's eager to get home. She sets the cruise control for 60 miles an hour.
She travels the same road and the same 120 miles. When she gets home, she does a little figuring. She says, "I drove 120 miles up, 120 miles back, or 240 miles. I drove 40 miles an hour up, and 60 miles an hour back, so my average speed was 50 miles an hour, and it should have taken me 4.8 hours. But it took me 5 hours!"
I understand that its because:
trip A= distance 120/40 speed= 3 hours and
trip B= distance 120/60 speed= 2 hours therefore 3 hours + 2 hours = 5 hours and
Full trip= distance 240/50 total average speed= 4.8 hours
but how is that so? How is it that when you average it you get a different answer?
Click here to see answer by solver91311(24713)

Question 353775: Noel and Joey start from two points which are 590 km apart and travel toward each other. The latter travel at 64 kilometers per hour less than two times the rate of the former. Find their rates if they meet in 5 hours.
Click here to see answer by mananth(16946)

Question 353815: Two cars start from the same place and travel in opposite directions. One runs at an average rate of 24 kilometers per hour faster than the other. Find their rates if after 6 hours, they are 702 km apart.
Click here to see answer by mananth(16946)

Question 353812: Two trains start from the same station and run at an opposite directions at an average rate of 64 kilometers per hour and 86 kilometers per hour, respectively. In how many hours will they be 225 kilometer apart?
Click here to see answer by mananth(16946)

Question 353861: Two trains start at the same time and travel in opposite directions. One train travels at 65 mi/h. In how many hours will they be 490 mi apart?
Click here to see answer by ewatrrr(24785)

Question 353862: Two trains start at the same time and travel in opposite directions. One train travels at 65 mi/h and the other train travels at 75mi/h. In how many hours will they be 490 mi apart?
Click here to see answer by ewatrrr(24785)

Question 353877: Sally drove from Town A to Town B at an average speed of 20 miles per hour. She then returned to Town A along the same road at an average speed of 30 miles per hour. What was Sally�s average speed, in miles per hour, for the entire trip?

Click here to see answer by ewatrrr(24785)

Question 353928: 2) A train travels 300 km in the same time that a plane covers 800 km. If the speed of the plane is 20 km per hr less than 3 times the speed of the train, find both speeds.
help me please!
Click here to see answer by checkley77(12844)

Question 353996: Ellen and Kate raced on their bicycles to the library after school. They both left school at 3:00 P.M. and bicycled along the same path. Ellen rode at a speed of 12 miles per hour and Kate rode at 9 miles per hour. Ellen got to the library 15 minutes before Kate. At what time did Ellen get to the library?
please help me!!!
Click here to see answer by scott8148(6628)

Question 354047: Two students are 320 meters apart and began walking toward one another at constant rates. One travels at 1.5 meters per second and the other at 1.7 meters per second. Ho long will they will walk until they meet?
Click here to see answer by mananth(16946)

Question 354026: Pablo drove 380 miles using 15 gallons of gas. At this rate, how many gallons of gas would he need to drive 266 miles?
Click here to see answer by sofiyac(983)

Question 354055: A motorcycle that travels 80kph starts 45 minutes after a pick-up truck and overtakes it in 15 minutes. Find the speed of the truck.
Click here to see answer by mananth(16946)

Question 354082: if the diameter of a wheel is 2 feet.approximately how many times it rotates to cross 2 miles?
Click here to see answer by mananth(16946)

Question 354154: when fritz drives to work his trip takes 48 minutes, but when he takes the train it takes 40 minutes. find the distance fritz travels to work if the train travels an average of 6 mph faster than his driving.
Click here to see answer by stanbon(75887)

Question 354212: 2 cars are moving in different speeds.the red car travles3 miles in 7 minutes;while the blue car travles 4 miles in 9 minutes.wich car is faster?
Click here to see answer by rfer(16322)

Question 354217: With a tail wind, a plain flew 1740 km in 6 hours. With a head wind, it flew only 570 km in 3 hours. Find the plains air speed and the wind speed. Assume both are constant.
Click here to see answer by checkley77(12844)

Question 354388: Lucy runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 18 minutes?
Click here to see answer by rfer(16322)

Question 354421: How long would it take to travel 100 ft doing 40 mph
Click here to see answer by Alan3354(69443)

Question 354435: A car pulls out from a stop sign and builds up to a speed of 20.0m/sec in 8 seconds. How far does it travel in that time? What final speed does it reach?
Click here to see answer by Alan3354(69443)

Question 354442: Tina rides her bike 15m up a hill and then 15m. down the same hill. This complete trip takes 2 hours. If her downhill speed is 20m faster than her uphill speed, how fast does she ride uphill?
I have these variables and have tried them every which way but loose...
uphill- distance=15, rate=r, and time=t ;
downhill- distance=15, rate=r+20, and time=2-t
No matter what I do, nothing looks workable for me...I think my brain is stuck.
Thank you, BP
Click here to see answer by Alan3354(69443)

Question 354447: Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?
Click here to see answer by stanbon(75887)

Question 354469: a boat travels 36 miles 60 minutes find the unit rate
Click here to see answer by mananth(16946)

Question 354472: 3d + 7 over 2 = negative 16?
Click here to see answer by mananth(16946)

Question 354701: ITS A 5 HOUR FLIGHT AND SHE LIVES 3060 MILES AWAY FROM YOU.HOW FAST DOES THE PLANE GO?

Click here to see answer by ewatrrr(24785)

Question 354715: A car is traveling on a road that is perpendicular to a railroad track. When the car is 35 meters from the crossing, the car's new collision detector warns the friver that there is a train 60 meters from the car and heading toward the same crossing.How far (in meters) is the train from the crossing?
Click here to see answer by rfer(16322)

Question 354725: falling object drop with an average acceleration of 9.8 m/s^2. if an object falls down from a tall building how long will it take before it reaches a speed of 49m/s
Click here to see answer by Alan3354(69443)

Question 354770: Find an approximate value for the rate at which the moon orbits the earth .Assume that the moon's orbit is circular?
Click here to see answer by unlockmath(1688)

Question 354731: Smithfield and Whoville are 184 miles apart. A car leaves Smithfield travelling towards Whoville at the same time another car leaves Whoville travelling towards Smithfield. The Car leaving Smithfield averages 10 mph more than the other and they meet after 1 hour and 36 minutes. What are the average speeds of the cars?

Click here to see answer by checkley77(12844)

Question 354809: Mary and Nick left from the same place at the same time and drove in opposite directions along a straight road. Mar3 traveled 15 miles faster than Nick. After three hours, they were 315 miles apart. Find the rate at which each traveled.
Click here to see answer by stanbon(75887)

Question 354981: Bill leaves Histown at 11:30 am and drives towards Hertown, 86 miles away, at 55 mph. Sue leaves Hertown at 12:45 and drives towards Histown at 60 mph.
When and where will they meet?
Click here to see answer by stanbon(75887)

Question 355003: A moving van leaves a house traveling at a constant rate of 40mi/h. The family leaves the house 1/2 hour later following the same route in a car. They travel at an average rate of 60mi/h

a.Define a variable for the time traveled y the moving van
b.write an expression for the time traveled by the car
This is spelled correctly word for word from the textbook, and it makes no sense to me at all.
Click here to see answer by stanbon(75887)

Question 355014: Train A is leaving Austin to Houston at 82.1 miles per hour.Tran B leaves to Austin at 109.071 miles per hour. How long before they pass eachother on the 240 mile trip ? How far from Austin will they pass ?
Click here to see answer by mananth(16946)

Question 355207: two cars are driving on same highway. car a is 5 miles ahead of car b and is travling at 45 miles per hour. car b is traveling at 55 miles per hour. how many minutes will it take for car b to catch up with car a? thank you
Click here to see answer by Fombitz(32388)

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