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

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Question 163441: Can you help me solve this math problem: A man can drive a motorboat 45 miles down the Rock River in the same amount of time that he can drive it 27 miles upstream. Find the speed of the current if the speed of the boat is 12 mph in still water.
Click here to see answer by scott8148(6628)

Question 163446: Can you help me solve this problem: A plane that can fly 340 mph in still air can fly 200 miles downwind in the same amount of time that it can fly 140 miles upwind. Find the velocity of the wind.
Click here to see answer by checkley77(12844)

Question 163444: A commercial jet can fly from San Francisco to Dallas in three hours. A private jet can make the same trip in 3.5 hrs. If the two planes leave San Francisco at noon, after how many hours is the private jet twice as far from Dallas as the commercial jet?
Click here to see answer by mathispowerful(115)

Question 163482: Radio waves travel at the same speed as light, 3.0 X 10^8 meters per second. Find the time required for a radio wave to travel from misson control in Houston to NASA astronauts on the surface of the moon 3.86 X 10^8 meters away.
Click here to see answer by Fombitz(32388)

Question 163464: With a head wind, a plane traveled 840 miles northward in 2 hours. With the same wind as a tail wind, the return trip southward took 1 hour and 45 minutes. Find the plane's air speed and wind speed.
Click here to see answer by checkley77(12844)

Question 163598: Noya drives to the city to buy software program at the computer store. Because of traffic she averaged only 15 miles per hour on the way there but averaged 35 miles per hour on the way home. If the total travel time was 2 hours how long does it take her to drive to the computer store.
Click here to see answer by nerdybill(7384)

Question 163603: If I drive a speed of 45mph for 6 miles how long would it take me?
Click here to see answer by nerdybill(7384)

Question 163588: Two cars travel in opposite directions from the same starting point. The rate of one car is 20 miles per hour less that the other car. After 5 hours the cars were 700 mile apart. what was the rate of each car?
Click here to see answer by checkley77(12844)

Question 163586: Two cars travel in opposite directions from the same starting point. The rate of one car is 20 miles per hour less that the other car. After 5 hours the cars were 700 mile apart. what was the rate of each car?
Click here to see answer by checkley77(12844)

Question 163569: There are 2 boats docked on opposite sides of a river. The sides of the river are parallel and the current is negligible. The 2 boats set out to cross the river at the same time, and each maintains a constant rate. They first meet at 800 yards from side 1, then proceed to the opposite side and turn around. Next they meet 300 yards from side 2. How wide is the river? What happens if 800 yards is replaced with D1 and 300 yards is replaced with D2 if both D1 and D2 are assumed to be less than the width of the river?
Click here to see answer by ankor@dixie-net.com(22740)

Question 163589: John travels from his home to the office at a rate of 25 miles per hour. By traveling 5 mile per hour faster, he took 30 less minutes to return home. How far is his office from home?
Click here to see answer by mathispowerful(115)

Question 163448: Will you please help me with this problem? This is what I know after reading the problem: R(of Lord Nelson)=2R(Brigantine); D(Brigantine)=D(Lord Nelson) + 30; T(Lord Nelson)=6 hours. The brigantine was sailing at full speed and was 30 miles at sea when Lord Nelson began to give chase at twice the speed of the brigantine. If Nelson caught up in 6 hours, how fast was the brigantine traveling?
Click here to see answer by ankor@dixie-net.com(22740)

Question 163662: Two cars start at a given point and travel in the same direction at average speeds of 40 miles per hour and 55 miles per hour. How much time must elapse before the two cars are 5 miles apart?
Click here to see answer by ankor@dixie-net.com(22740)

Question 163701: Ellen and Kate are traveling from the school to the library.
The both left at 3:00 and followed the same path.
Ellen is traveling at 12mph
Kate is traveling at 9mph
Ellen arrives 15 minutes before Kate
What time does Kate arrive?
I tried but couldn't get too far.
Rate (r) Time (t) Distance (d)
Kate 9 MPH t 9t
Ellen 12 MPH t-15 Min 12t-15

Click here to see answer by scott8148(6628)

Question 163705: Mary Baylor drove to work on Thursday at 40 miles per hour and arrived one minute late. She left at the same time on Friday, drove at 45 miles per hour, and arrived one minute early. How far does Ms. Baylor drive to work?
Click here to see answer by checkley77(12844)

Question 163781: a cyclist travels 45 miles in 4 hours. How many feel does she travel in one second?
Click here to see answer by joecbaseball(37)

Question 163812: a train took 3 hours to travel 120 mile what speed was it traveling at?
Click here to see answer by vleith(2983)

Question 163912: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hours faster than the other car. Find the speed their speeds if after 5 hours they are 520 miles apart.
This is how I tried to work it out?
_________________________________________ Distance Time Rate
1st car 4 4X(5)
2d car 4 4+4(5)
Click here to see answer by checkley77(12844)

Question 163949: Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other?Explain.
Click here to see answer by nerdybill(7384)

Question 163973: Mary needs to go to Jane�s house. Mary drives 4mph going uphill, goes 6mph on flat ground and goes 12mph downhill. It takes her 1 hour to do the trip. How far is Jane�s house?
Click here to see answer by ankor@dixie-net.com(22740)

Question 164025: The equation D=4.9t^2 gives the distance, in meters, an object falls in T seconds. How many seconds would it take for an object to fall 356 meters? Thanks
Click here to see answer by stanbon(75887)

Question 164384: I'm not exactly sure if this is a Travel and distance problem but that's what I think...
A cyclist rode the 1st 20 mile portion of his workout at a constant speed. He then rode a 16 mile cool down and reduced his speed by 2 miles per hour. Each portion of his workout took the same amount of time. Find the speed during the 1st portion and the speed during the cool down.
Click here to see answer by checkley77(12844)

Question 164399: a bus is traveling at 50 mph then reduces its speed to 40 mph. the 220 mi. trip takes 5 hrs. how long does it travel at each speed? show equation.
Click here to see answer by midwood_trail(310)

Question 164385: If the area of a square is 81cm˄2,what isthe perimeter?What would the side of an equlateral triangle have to be to have the same area?
Click here to see answer by Atmiya(1)

Question 164453: 2. An express and local train leave Gray�s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.

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

Question 164477: A bicycle trip of 120 miles would have taken 3 hours less if the average speed had been increased by 2 miles per hour. Find the average speed of the bicycle.
Click here to see answer by checkley77(12844)

Question 164494: Kris drove part of a 185 mile trip at 50 mph and the rest at 55 mph. Find the distance she traveled at 50 mph if her total driving time was 3 hours and 30 minutes.
Click here to see answer by ankor@dixie-net.com(22740)

Question 164547: First tourist walked a distance of 30 km in a time 10 minutes shorter than the second tourist. Calculate their speeds if the speed of the first one was 3 km/h greater than that of the second one.
Click here to see answer by ptaylor(2198)

Question 164514: Roland made a trip of 450 miles in 8 hours. Before noon he averaged 60mph, and afternoon he averaged 50mph. At what time did he begin his trip and when did he end it?
Click here to see answer by Fombitz(32388)

Question 164638: Steve traveled 200 miles at a certain speeed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by ptaylor(2198)

Question 164704: A car leaves New Orleans heading to Atlanta at a speed of 70 MPH. Thirty minutes later, another car left Atlanta heading towards New Orleans, which is about 900 miles from Atlanta, at a speed of 90 MPH. How car are they from Atlanta when they end up meeting?
Click here to see answer by checkley77(12844)

Question 164707: if a car goes one mile in one minute. how many miles an hour is this?
Click here to see answer by edjones(8007)

Question 164778: two cars leave from merrillville indiana at the same time and travel in the same direction one car travels one and three quater times as fast as the other after 3.5 hours they are 105 miles apart what is the speed of each car
Click here to see answer by checkley77(12844)

Question 164823: To be a lifeguard you must swim continuously for 500 yards doing either the front crawl or the breaststroke. You can swim the front crawl 45 yards per minute and the breaststroke 35 yards per minute. It takes you 12 minutes to swim 500 yards. How long did you spend swimming the front crawl?
Click here to see answer by stanbon(75887)

Question 164878: A man travels for work averaging 40 mph.On the return trip he averages 50 mph, and it takes him an hour less time. How long was the return trip?
Click here to see answer by checkley77(12844)

Question 164984: My friend is driving 55 mph, West, on Interstate 90 and he started from his home which is 75 miles west of mine. I leave at the same time, traveling West at a speed of 73 mph. Write 2 linear equations (one for me and one for my friend) that relate our distances away from my home versus time. (Hint: draw a little picture or diagram)
Not quit sure how to set this problem up and then work it out. Thank you
Click here to see answer by scott8148(6628)

Question 165092: an infiniti G35 travels at an average speed of 50 miles per hour. A Mercury Mountaineer travels at an average speed of 40 miles per hour. In the time it takes the Mountaineer to travel a certain distance d, the Infiniti travels 100 miles farther. Find the distance that each car travels and the time of the trip.
thank You for any and all help you can give me. Can't figure out how to set this up.
Click here to see answer by scott8148(6628)

Question 165150: a plane flying with the tail wind flew 600 miles in 5hrs. Against the wind, the plane requires 6 hours to fly the same distance. Find the rate of the plane in the calm air and the rate of the wind?
Click here to see answer by ptaylor(2198)

Question 165121: 1. A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?

Click here to see answer by nerdybill(7384)

Question 165125: 4. The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?

Click here to see answer by gonzo(654)

Question 165417: Juan drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 1/4 hours.
Write an equation to find the value for the time it takes Juan to travel to work?

Click here to see answer by checkley77(12844)

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