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

Tutors Answer Your Questions about Travel Word Problems (FREE)

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 Edwin McCravy(20054)

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(75887)

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(7384)

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(75887)

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(12844)

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(12844)

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(12844)

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(7384)

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(75887)

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(75887)

Question 170631: HOW DO YOU FIND THE AVERAGE DRIVING SPEED IN MILES PER HOUR?
Click here to see answer by stanbon(75887)

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(2983)

Question 170684: 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 Alan3354(69443)

Question 170692: A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current.
Help, no idea.
Thanks.
Click here to see answer by stanbon(75887)

Question 170714: Ethan is the winner of a 6 mile race and finishes 2 minutes ahead of Ashley. Ethan travels on average 2 mph faster then Ashley. find their average speed.
thanks!
Click here to see answer by Mathtut(3670)

Question 170712: nicks boat can travel 36 miles upstream in the same time that it can travel 54 miles downstream. the speed of the current is 3 mph, find the speed of nicks boat without the current.
thanks!
Click here to see answer by checkley77(12844)

Question 170787: I've tried to set this up, yet I have no idea on how to solve it.
"Helped by a strong jetstream, a Los Angeles-to-Boston plane flew 10% faster than usual and made the 4400km trip in 30min less time than usual. At what speed does the plane usually fly?"
Click here to see answer by Mathtut(3670)

Question 170799: At 7:00 a.m., Joe starts jogging at 6 mph. At 7:10 a.m., Ken starts off after him. How fast must Ken run in order to overtake him at 7:30 a.m.?
Click here to see answer by ankor@dixie-net.com(22740)

Question 170780: At 10:00 AM, a snowstorm is 250 miles west of St. Louis. The storm travels 150 miles eastward at a constant rate, and then its speed decreases by 5 miles per hour. If the storm reaches St. Louis at 8:00 PM, what was the storm's original speed?
Click here to see answer by Mathtut(3670)

Question 170955: Sue walks and jogs to school. She walks at a speed of 5kmh and jogs at a speed of 9kmh. It is 8km to school. She makes it in 1 hour. How far does she jog?
I know that d=rt but I'm drawing a blank on this one.
Thanks
Click here to see answer by angel1286(3)

Question 171033: Two cars leave from Ohio and go in opposite directions. One car goes west at 60 mph. Another goes east at 80 mph but leaves 1 hour 30 min after the first car. At what time will they be 620 miles apart? This isn't from a book. I am completely stumped with no idea how to do this.
Click here to see answer by checkley77(12844)

Question 171029: Two cars leave from New York and drive in opposite directions (north and south). The car going north travels at 60 mph. The car going south leaves an hour and a half after the first and goes 80 mph. At what time will the cars be 620 miles apart? This is a homework problem on a sheet of paper so not from a book. I tried it and got 32 hours 30 minutes but I don't think that it's right.
Click here to see answer by checkley77(12844)

Question 171054: Two planes left at the same time from two airports which are 4,500 miles apart and flew toward each other. In 5 hours, they passed each other. The rate of the fast plane was twice the rate of the slow plane. Find the rate of each plane.
Click here to see answer by stanbon(75887)

Question 171089: the current in a stream moves at a speed of 10 mph. A boat travels 29 miles upstreamand 29 miles downstream in a total time of 8 hours. What is the speed of the boat in still water
Click here to see answer by checkley77(12844)

Question 171100: Fred begins walking toward John's house at 3 mi/h. John leaves his house at the same time and walks toward Fred's house on the same path at a rate of 2 mi/h. How long will it be before they meet if the distance between the houses is 4 miles?
Click here to see answer by scott8148(6628)

Question 171080: heckle and jeckle shared the driving ona 500 mile trip. heckle drove 80 miles more than jeckle. how far did heckle drive?
Click here to see answer by Mathtut(3670)

Question 171131: Mia's motorboat took 3hr. to make a trip downstream with a 6-mph current. The return trip against the same current took 5hr. Find the speed of the boat in still water.
Click here to see answer by solver91311(24713)

Question 171241: "Halfway through her bus trip from Savannah to Jacksonville, Gertrude fell asleep. When she awoke, she still had to travel half o the distance she traveled when asleep. For what fraction of the trip was Gertrude asleep?"

I have tried drawing diagrams and setting up equations, and nothing has worked. Please help me with this one. Thanks so much!
Click here to see answer by Mathtut(3670)

Question 171435: Having trouble finding the right formula! How do I solve?
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 Mathtut(3670)

Question 171495: I would like to check my answer and compare my work. Thanks for your help. Marcy traveled 240miles. For most of the distance she traveled 60mph, but had car trouble and traveled 20mph for a while of the trip. If the total travel time was 6 hrs, how many miles did she drive 20mph during her car trouble?
Click here to see answer by monika_p(71)

Question 171663: Judy averaged 42 miles per hour (mph) driving from Allentown to Harrisburg and 51 mph driving from Harrisburg to Pittsburgh. See the accompanying figure. Ifshe drove a total of 288 miles in 6 hours, then how long did it take her to drive from Harrisburg to Pittsburgh?
Click here to see answer by stanbon(75887)

Question 171646: Tim paddled his kayak 12 km upstream against a 3 km/h current and back again in 5 h 20 min. In that time how far could he have paddled in still water?
Click here to see answer by ankor@dixie-net.com(22740)

Question 171648: A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip of flooring around the rug will remain uncovered. If the rug is to cover half of the floor space, what should the dimensions of the rug be?
Click here to see answer by checkley77(12844)

Question 171795: Pam jogged up a hill at 6 km/h and then jogged back down at 10 km/h. If her total jogging time was 1 h 20 min, how many km did she travel?
Click here to see answer by checkley77(12844)

Question 171910: Two trucks left Buck's Trucks traveling in opposite directions. One truck traveled at a rate of 70 km/h, and the other at 80km/h. After how many hours were the trucks 900km apart?
Click here to see answer by stanbon(75887)

Question 171770: The rail line between two cities consists of two segments, one 96 km longer than the other. A passenger train averages 60 km/h over the shorter segment, 120 km/h over the longer, and 100 km/h for the entire trip. How far apart are the cities?
Click here to see answer by ankor@dixie-net.com(22740)

Question 171919: Math professor Al Gebra averaged 30mph ascending a 1-mile hill on his motorcycle
At what speed (in mph) must he come back down the hill to average 60mph for the round trip?
Click here to see answer by Alan3354(69443)

Question 171787: Two cars leave their respective towns ,wich are 1000 km appart, travelind towards each other. One cars leavesat 8 am and average 120km/h . The other car leaves at 9am and averages 100km/h. When and where will they meet each other? At what time will they be 500 kilometers apart?
Click here to see answer by ankor@dixie-net.com(22740)

Question 172193: Jean and Jose started bicycling from the same spot in the same direction. Jean rode at a rate of 12 mi/h. Jose rode at a rate of 10 mi/h. After how many hours will they be 10 mi apart?
can't figure it out
Click here to see answer by checkley77(12844)

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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