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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 18913: A car started out from Memphis toward Little Rock at the rate of 60 km/h. A second car left from the same point 2h later and drove along the same route at 75km/h. How long did it take the second car to overtake the first car?
Click here to see answer by Paul(988)

Question 19022: A plane flies 720 mi against a steady 30-mph headwind and then returns to the same point with the wind. If the entire trip takes 10 hours, what is the plane's speed in still air?
Click here to see answer by MelanieBCC(40)

Question 19037: If two planes leave the same airport at 1pm, how many miles apart will they be at 3pm if one travels north at 150 mph and the other travels directly west at 200 mph?
Click here to see answer by MelanieBCC(40)

Question 19107: It takes a plane 40 min. longer to fly from boston to los angeles at 525 mi/h than it does to return at 600 mi/h. how far apart are the cities?
Click here to see answer by Paul(988)

Question 19122: ollie Carr has just enough money to rent a canoe for 1 1/2 hours. how far out on a lake can he paddle and return on time if he paddles out at 2 km/h and back 4 km/h?

Click here to see answer by mmm4444bot(95)

Question 19130: Hi, I'm stuck on the following problem: On a sales trip, Gail drive 600 miles to Richmond averaging a certain speed. The return trip is made at an average speed that is 10 miles per hour slower. Total time for the round trip is 22 hours. Find Gail's average speed on each part of the trip.
Any help would be appreciated. Thank you so much!!
Click here to see answer by mmm4444bot(95)

Question 19151: OK...Brent rides a moped at 24 miles per hour. His wife Jan rides in the opposite direction at 8 miles per hour. How much time will pass when they are 24 miles apart? I know the answer is 3/4 hour, but I'm having a hard time getting that using the old rate x time = distance method. Can you bail me out?
Click here to see answer by venugopalramana(3286)

Question 19150: Joe digs a ditch in 3.2 hours.
Joe working with George can did the same length ditch in 2.7 hours.
How long would it take George to dig the ditch by himself.

Click here to see answer by venugopalramana(3286)

Question 19230: 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 take to fall 2304 feet? I figured 1296 = x(6)square but not able to complete.
Click here to see answer by Earlsdon(6294)

Question 19478: Please help me with this problem I have exhausted all of my resources to try and figure it out.
On a windy day Yoshiaki found that he could go 16mi downstream and then 4mi back upstream at top speed in a total of 48min. What was the top speed of Yoshiaki's boat if the current was 15mph?

The answer in the back of the book is 25mph, but I can't seem to figure out how they came up with that answer. We are working with quadratic equations. Here is what I have tried:
______________D_____R________T_______
upstream:_____4mi___x-15___4/(x-15)
downstream:___16mi__x+15___16/(x+15)
_____________________________________
4/(x-15) + 16/(x+15) = 48
I cannot seem to come up with the answer 25, I must be doing something wrong in the form of the equation. Please Help!!
Click here to see answer by xcentaur(357)

Question 19596: A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km per hour slower than the express train. They pass one another 3 hour later. What are their speeds?
Thanks for your help.
Click here to see answer by venugopalramana(3286)

Question 19770: I'm very bad at word problems and this one seems to make me more confused!!
Train A leaves depot A and travels to depot C 400 miles away and Train B leaves depot B one hr later and travels 150 miles to depot C. If Train A is travelling 10mph faster than train B and they arrive at depot C at the same time, how fast was each train travelling?
Thank you sooo much!!!!
I got this far but that's not really an equation: A=400miles(10+b) B=150miles(A-60min)
Click here to see answer by Paul(988)

Question 19788: An afternoon sightseeing cruise up river and back down river is schedualed to last 1 hour. The speed of the current is 4kh/h, and the speed of the riverboat in still water is 12km/h. How far upstream should the pilot travel before turning around?
Click here to see answer by xcentaur(357)

Question 19831: This is very urgent.. It's due soon and I can't figure it out!
Charles Lindbergh estimated that at the beginning of his flight his speed was at 95mph. After travelling 4000 miles, his speed dropped to 75mph. Find the formula for the linear equation representing his speed and distance.
Thank you
Click here to see answer by Paul(988)

Question 19855: A 10 cm cube of material has a mass of 2.2 kg. What is its density?

Click here to see answer by christinaaa192(28)

Question 20133: solve.
Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour longer than Smith's. How fast was each one traveling? Explain your steps as you solve.
thanks
Click here to see answer by Paul(988)

Question 20198: A race track measures 8 miles long. If an automobile completes the track in exactly 3 minutes, what is its average rate of speed in miles per hour?
Click here to see answer by wuwei96815(245)

Question 20463: Lynn walked for 2 hours then ran for 30 minutes, if she ran twice as fast as she walked and she covered 12 miles altogether how fast did she walk?
Click here to see answer by Paul(988)

Question 20507: Science and medicine. Martina leaces home at 9 A.M., bicycling at a rate of 24mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?
Click here to see answer by wuwei96815(245)

Question 20873: Jimmy is traveling at a speed of 135 mi/hr. What is his speed in feet per second?

Click here to see answer by kapilsinghi(68)

Question 21190: As shown on a travel map, one route measures 6 and 1/8 inches and the other 6 and 1/2 inches. If 1 inch represents 40 miles, how many miles difference in distance is there between the two routes?
Click here to see answer by lola_fish99(13)

Question 21181: Two trains are 150 miles apart. The two trains meet after 3 hours. Train A is 10 mph faster than train B. What is the average speed for each train?
Click here to see answer by Paul(988)

Question 21332: After robbing a bank in Dodge City, a robber gallops off at 12 mi/h. 20 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take the marshall to catch up to the robber?

Click here to see answer by Paul(988)

Question 21339: A freight tain leaves a station at 4:00 p.m. traveling ay 30 kilometers per hour. A passenger train leaves 1 hour later, traveling at 50 kilometers per hour. At what time will the passenger train overtake the frieght train.
Click here to see answer by Photonjohn(42)

Question 21404: Two cars A and B having speeds of 50km/h and 60km/h are 440km apart. They start moving towards each other at 1:00. At what time will they meet?
Click here to see answer by Paul(988)

Question 21541: As shown on a travel map, one route measures 5 and 1/8 inches and the other 5 and 1/2 inches. If 1 inch represents 80 miles, how many miles difference in distance is there between the two routes?
Click here to see answer by Paul(988)

Question 21558: Idont understand how to answer this question, because I need to show an algebraic equation.
On a 520 mile trip, Thu and Cleo shared the driving. Cleo drove 80 miles more than Thu drove. How far did each person drive.
Click here to see answer by Paul(988)

Question 21561: Please help me solve this problem using algebraic equation.
Chris is three years older than David. David is twice as old as Rick. The sum of Rick's age and David's age is 81. How old is Rick?
Click here to see answer by elima(1433)

Question 21642: Can someone help with this problem! I can't seem to figure it out and my parents are of no help.
The rail line between two cities consist of two segments, one 96km longer than the other. A passenger train averages 60km/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 glabow(165)

Question 21711: A motorboat can go 10 miles downstream in 20 minutes. It takes 30 minutes for this boat to go back upstream the same 10 miles. Find the speed of the current.
Not sure if I did this one right, I got 10 mph. Is this right?
Thanks!!
Click here to see answer by Paul(988)

Question 21778: A man can row 20km downstream in the time he takes to row 8km upstream. He rows downstream for 1 hr. and 30 min.,then turns and row back for 3 hrs, but he find that he still 3 km from his starting place. Find the rate of the manin still water?
Click here to see answer by Paul(988)

Question 21947: Julia framed an oil painting that ther uncle gave her. The painting was 4 inches longer than it was wide, and it took 176 inches of frame molding. What were the dimensions of the picture?
Click here to see answer by josmiceli(19441)

Question 21949: A jet flew at an average speed of 640 mph from Los Angeles to Chicago. Because of head winds the jet averaged only 512 mph on the return trip, and the return trip took 48 minutes longer. How many hours was the flight from Chicage to Los Angeles? How far is it from Chicago to Los Angeles?
Click here to see answer by Paul(988)

Question 21948: On Saturday morning, Lynn walked for 2 hours and then ran for 30 minutes. If she ran twice as fast as she walked and she covered 12 miles altogether, then how fast did she walk?
Click here to see answer by Paul(988)

Question 21924: Sue leaves home at 9 a.m. bicycling at a rate of 28 mi/h. Two hours later, Joe leaves driving at the rate of 48 mi/h. At what time will Joe catch up with Sue?

Click here to see answer by Paul(988)

Question 21980: You are driving at a speed of 55 miles per hour to your sister's house. At 1 P.M you are 150 miles from her house. Write an equation that models the distance from your sister's house in terms of the number of hours since 1 P.M.
Click here to see answer by wuwei96815(245)

Question 22028: A ship travels from New York to Southampton, England at 33 miles per hour. A plane traveling 605 miles per hour takes 104 hours less time to make the same trip. How far apart are the two cities?
Click here to see answer by Paul(988)

Question 22105: River flows at 2 mph. Phil can paddle in still water at 8 mph. If he is 4 miles downstream from a log floating toward him, how long will it take him to reach the log?
Click here to see answer by Paul(988)

Question 22167: If it takes a Dell Dimension-8300 computer 4 hours to crack a UNIX password file and Gateway E-6100 computer
twice as long to crack the same password file, how long would it take the two of them, working together
(assume we can get two of them to work together) to crack the file, if each computer works at its respective
individual speed?

Click here to see answer by Earlsdon(6294)

Question 22207: I need to write an algebraic statement to describe this situation, and I am stumped! One person can carry a 4-day supply of food and water for a trip across the desert that takes 6 days to cross. One person cannot make the trip alone because the food and water would be gone after 4 days. How many people would have to start out in order for one person to get across and the others to return to the starting point?
Click here to see answer by wuwei96815(245)

Question 22284: A bus leaves a station at 1 PM, traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 miles apart?
Click here to see answer by Paul(988)

Question 22301: Please help me with this problem:
An airplane takes 5 hours to travel a distance of 3360 km with a tail wind.
The return trip against the wind takes 5 hours and 36 minutes. Find
the speed of the wind and the speed of the plane in still air. Assume that
both speeds are constant during the trip.
Thanks
Sandy
Click here to see answer by Paul(988)

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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