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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 168610: 2 planes travel toward eachother from cities that are 1615km apart. the 2 planes pass eachother in the air after 3hrs and 48min, the slower plane was traveling at a rate of speed that was 80kh more than 1/2 the rate of speed of the faster plane assuming they left at the same time at what rate of speed was each plane traveling?
Click here to see answer by ankor@dixie-net.com(15657)

Question 168635: A train travels 600 miles in the same time that a truck travels 520 miles. The train's average speed is 8 miles per hour faster than the truck's average speed. What is the speed of the train?
Click here to see answer by stanbon(57377)

Question 168674: A motorcycle breaks down and the rider must walk the rest of the way to work. The motorcycle was being driven at 45mph, and the rider walks at a speed of 6 mph. The distance from home to work is 25 miles, and the total for the trip was 2 hours. How far did the motorcycle go before it broke down?
Click here to see answer by stanbon(57377)

Question 168887: if tom pays a $2 toll each way to work. How much will he paay in 4 weeks if he works 5 days a week?
Click here to see answer by jojo14344(1512)

Question 168926: A sailboat travels 20 milews downsteam in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current.
Click here to see answer by ankor@dixie-net.com(15657)

Question 168939: If a car travels 60 miles in 45 minutes how many miles per hour was the car driving?
Click here to see answer by jojo14344(1512)

Question 168939: If a car travels 60 miles in 45 minutes how many miles per hour was the car driving?
Click here to see answer by josmiceli(9690)

Question 168910: Would you rather have a kilometer of quarters or a kilometer of dimes? (in a straight line, with the heads up). How much better is your choice?
Click here to see answer by josmiceli(9690)

Question 168966: Two boys on bicycles start toward each other at the same time from two towns 70km apart. The first travels at 12km/h. What is the speed of the other boy if they meet in 2 1/2 hours?
Click here to see answer by ankor@dixie-net.com(15657)

Question 169005: Two trains 100 km apart each travel towards each other at 10 km per hour. A bumblebee starts flying back and forth between the two trains at 60 km per hour, until the two trains crash into each other. How far does the bumblebee travel?

Click here to see answer by ptaylor(2048)

Question 169023: A jet-liner and a propeller driven aircraft leave two cities 3000km apart at the same time and fly toward each other on a collision course. The flights are non-stop. If the propeller driven plane flies at 300km/h and the jet at 600km/h, how far will the jet fly before these planes crash?
Click here to see answer by Alan3354(30993)

Question 169028: Two airplanes leave Toronto at the same time, one travelling west and the other east. Their average speeds differ by 5km/h. After 1 3/4 hours they were 980 km apart. Find the speed of each plane.
Click here to see answer by nerdybill(6962)

Question 169049: If two trains are 120 miles apart and are traveling toward each other at a constant rate of 30 mph and 40 mph respectively, how far apart will they be exactly 1 hour before they meet.

Click here to see answer by Alan3354(30993)

Question 169177: a length of a rectangle is fixed at 29cm; what widths would make the perimeter greater than 70 cm
Click here to see answer by checkley77(12569)

Question 169190: the function H described by H(x)=2.75x+71.48 can be used to predict the height in centimeters,of a woman whose humerus is x cm long. predict the height of a woman whose humerus is 35cm long.
Click here to see answer by nerdybill(6962)

Question 169352: avoiding a collision: a car is traveling on a road that is perpendicular to a railroad track. when the car is 30 meters from the crossing, the car's new collison detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. how far is the train from the crossing?
Click here to see answer by algebrapro18(206)

Question 169541: A car travels 180mi, a second car, traveling 15mi/h faster than the first car , makes the trip in 1 hr less time. Find the speed of each car.
Click here to see answer by Mathtut(3670)

Question 169635: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hour faster than the other car. Find the speed thier speeds if after 5 hours they are 520 miles apart.
Click here to see answer by Fombitz(13828)

Question 169819: A car travels at a steady rate of 60 miles per hour. Identify the in depednt and dependent variables. Describe the domain and range. Write to describe the situation.
Thanks for all those who help!
Click here to see answer by jim_thompson5910(28595)

Question 169818: A car travels at a steady rate of 60 miles per hour. Identify the in depednt and dependent variables. Describe the domain and range. Write to describe the situation.
Thanks for all those who help!
Click here to see answer by stanbon(57377)

Question 169835: Please help me with this problem:
An object launched upward with an initial velocity of 14.7 m/s from a height of 49 m will have a height of s(t)= -4.9t^2+49, where s is in meters and t is in seconds. How long will it take the object to hit the ground?
Thank you.
Click here to see answer by stanbon(57377)

Question 169815: a train is traveling from Boston,Massachusetts, to Richmond, Virginia, averages about 55 miles per hour. Define the variables, write an equation,make a table, and draw a graph to show the distance the train travels in 0 to 5 hours.
Thanks for all those who help.
Click here to see answer by stanbon(57377)

Question 169542: The perimeter of a rectangle window is 32 ft. Find the dimensions of the window that will enclose the largest area.
Click here to see answer by nerdybill(6962)

Question 169873: HOW LONG WILL IT TAKE YOU TO WALK TO CLASS IF YOU WALK 3 MILES PER HOUR ALONG A STRAIGHT PATH AND IF THE CLASSROOM IS A MILE AND A HALF FROM WHERE YOU START?
THIS IS WHAT I GOT (RT=D)
SO 3X=1.5? BUT IT IS NOT COMING OUT PLEASE HELP
THANKS
Click here to see answer by stanbon(57377)

Question 169540: A car travels 180mi, a second car, traveling 15mi/h faster than the first car , makes the trip in 1 hr less time. Find the speed of each car.
Click here to see answer by stanbon(57377)

Question 169934: A boat can travel 36 mmiles downstream in 2 hours. Coming back upstream the trip takes 3 hours. Find the rate of the boat in still water and the rate of the current.
b be average speed of boat,
c = average current.
gives
2(b+c)= 36
3(b-c)= 36
expanding
..
2b+2c=36....divide by 2, b+c=18 giving 3b+3c=54
3b-3c=36..given
..
3b+3c=54...eqn 1
3b-3c=36...eqn 2
subtract eqn 2 from 1
6c=18
c=3
b=15
Rate of boat = 15 mph
Current = 3mph

Click here to see answer by rajagopalan(158)

Question 169954: Two trains 100 km apart each travel towards each other at 10 km per hour. A bumblebee starts flying back and forth between the two trains at 60 km per hour, until the two trains crash into each other. How far does the bumblebee travel?
Click here to see answer by nerdybill(6962)

Question 170053: If you had driven one mile at 30 mph, how fast must you drive the second mile so your average speed for the trip is 60mph.
Hint: The answer is not 90 mph.
Click here to see answer by stanbon(57377)

Question 170217: Trains A and B are travelling in the same direction on parallel tracks. train A is traveling at 40mph and train b is travelling at44mph. Train A passes a station at 9:10 pm and Train B passes the same station @9:40.
At what time will train b cath up with train?
Click here to see answer by nerdybill(6962)

Question 170222: HELP!!!
As part of his training, an athlete usually runs 80km at a steady speed of v km/. One day he decideds to reduce his speed by 2.5km/h and his run takes him an extrax 2h 40 min. Derive an equation in terms of v and use to find athlete's initial speed.
Click here to see answer by stanbon(57377)

Question 170298: a town's old street sweeper can clean the streets in 60 h. the old sweeper together with the new sweeper can clean the streeats in 15 h. how long would it take the new sweeper to do the job alone?
Click here to see answer by checkley77(12569)

Question 170356: Fawn lives on a hill. She goes to work by bicycle at a speed of 20 mph. Work is 10 miles away. She returns home at a speed of 15 mph along the same 10 mile route. How long does she spend commuting every day?
Click here to see answer by checkley77(12569)

Question 170334: HELP! I am completely stuck on this problem:
A twin-engined air craft can fly 1200 miles from city A to city B in 5 hours with the wind and make the return trip in 8 hours against the wind. what is the speed of the wind?
I have solved so many of these before in geometry, but that was over a year ago, and I can't remember how to solve it.
When I attempted to figure it out, I was not sure if the equation with the wind was 5+X and if the one against the wind was 8-X, or x-8.
Thanks so much for the help! it really means a lot!
Click here to see answer by checkley77(12569)

Question 170345: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 15 mi, the distance between the cars was 5 mi more than the distance traveled by the car heading east. How far had the east bound car traveled?
Click here to see answer by Mathtut(3670)

Question 170448: Hi,
I am having trouble finding the right equation to use in solving the following word problem from my GRE math test prep worksheet. Can you please advise me on how to start?
Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 mph faster than the other car, what was the average speed for each car for the 2-hour trip?
Thanks,
Julie
Click here to see answer by nerdybill(6962)

Question 170472: Two trains are traveling on parallel tracks. Train A is traveling at 80 mph and train B is traveling at 88 mph. Train A passes the train station at 9:25. Train B passes the same station at 9:55. What time will it be when train B catches up with train A?
Click here to see answer by stanbon(57377)

Question 170504: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it to fall 2304 feet?
Click here to see answer by Mathtut(3670)

Question 170619: Jeff leaves his house on his bicycle at 8:30 am, and averages 5 mph. At 9:00 am his wife leaves, following the same path and averages 6 mph. At what time will joan catch up with Jeff?
t= time jeff travels
using the equation d=r*t, I get 5t=6(t-1/2)
expanding- 5t=6t-3
-t=-3.
So my question is, am I solving this right? And if so, what is t=3? Does that mean she will catch up to him in 3 hrs? the only other way I could imagine it is that it means she will catch him at 3 oclock but that doesn't seem right.
thank you!

Click here to see answer by stanbon(57377)

Question 170631: HOW DO YOU FIND THE AVERAGE DRIVING SPEED IN MILES PER HOUR?
Click here to see answer by stanbon(57377)

Question 170607: ill is 11 km away from joe.Both begin to walk toward each other at the same time.jill walks 2.5 km per hour. They meet in 2 hrs. How fast is joe walking?
Click here to see answer by Mathtut(3670)

Question 170683: two cars leave at the same point .the speed of the car is 75 kph and the other one is25 kph.at what time will they be 200 km apart?
Click here to see answer by vleith(2825)

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