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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 155187: On a stretch of road 75 miles long, two trucks approach each other. Truck A is driving 55 mph and Truck B is going 80 mph. What is the distance between the two trucks one minute before their head-on collision?
This question isn't in the textbook - it's the Problem of the Week.
Click here to see answer by stanbon(75887)

Question 155283: Mr. Newton drives to and from work over the same route each day. On Friday, he drives at an average rate of 52 km/hr and is one minute late to work. ON Monday, he drives at an average rate of 60 km/hr and is one minute early to work. If he left home at the same time each day, what is the distance Mr. Newton travels from home (one way) to work.
Not from a text book, it was on a sheet of paper. thankyou.
Click here to see answer by checkley77(12844)

Question 155362: Mike travels ti his friends house at 40miles/hour. He returns at 45 miles/hour.The total trip took 4 hours. How far away is his friend?
Click here to see answer by jojo14344(1513)

Question 155355: Two cars leave from the same point at the same time, traveling in opposite directions. One traveling 15 mph slower than the other. After 6 hours, they are 630 miles apart. Find the rate of each car.
Click here to see answer by jojo14344(1513)

Question 155369: Lisa, an architect from Huntsville, has arranged a business luncheon with her client, Taro from Norwood. They plan to meet at a restaurant off the 300 mile highway connecting their two cities. If they leave their offices simultaneously and arrive at the restaurnat simultaneoulsy, and Lisa averages 50mph while Taro averages 60mph, then how far from Huntsville is the restaurant?
Click here to see answer by ankor@dixie-net.com(22740)

Question 155368: The distance between Majorie and the dude ranch was (4times the square root of 34) miles straight across a rattlesnake-infested canyon. Instead of crossing the canyon, she hiked due north for a long time and then hiked due east for the shorter leg of the journey to the ranch. If she averaged 4mph and it took her 8 hr to get to the ranch, how far did she hike in a northernly direction?
( they show a right triangle and i have the answer but i dont know how to set up the formula.the answer is 20 miles)( they show the hypontenuse as 4xthe sq rt of 34) and the loner leg is going north and the shorter leg is going east)
Click here to see answer by ankor@dixie-net.com(22740)

Question 155432: Katy leaves City A for City B at 7 am. driving a 51 mph. at 10am Jensen leaves City B for City A driving at 60 mph. If the cities are 264 miles apart at what time will they meet?
Click here to see answer by stanbon(75887)

Question 155437: On the first part of a 363-mile trip, Emily averaged 58 miles per hour. Due to increased traffic volume, she averaged only 52 miles per hour on the last part of the trip. Find the amount of time she traveled at each of the speeds if her total time for the trip was 6 hours and 45 minutes?
Click here to see answer by nerdybill(7384)

Question 155510: In a walkathon to raise money for charity, Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2hr and 15min. How many miles long was the walkathon? The answer is 15mi but I cannot formulate the equation.
Click here to see answer by scott8148(6628)

Question 155764: Can you please help me with this word problem: At 7:00 am Joe starts jogging at 6mi/h. At 7:10 am Ken starts off after him. HOw fast must Ken run in order to overtake him at 7:30 am?
Click here to see answer by checkley77(12844)

Question 155941: A plane flies 300 miles with a tail wind in 1 hour. It takes the same plane 2 hours to fly the 300 miles when flying against the wind. What is the plane's speed in still air?
Click here to see answer by ptaylor(2198)

Question 155931: A plane flies 300 miles with a tail wind in 1 hour. It takes the same plane 2 hours to fly the 300 miles when flying against the wind. What is the plane's speed in still air?
Click here to see answer by ptaylor(2198)

Question 156080: I am having difficulty setting up the equation for this problem. Thank you for any help.
An army messenger will travel at a speed of 60 miles per hour on land and in a motorboat whose speed is 20 miles per hour in still water. In delivering a message he will go by land to a dock on a river and then on the river against a current of 4 miles per hour. If he reaches his destination in 4 1/2 hours and then returns to his starting point in 3 1/2 hours, how far did he travel by land and how far by water.
Click here to see answer by ptaylor(2198)

Question 156126: In his first time at bat in a game at Fenway Park, Cecil Fielder hits a baseball toward left center field. The distance, d, and the height, h, can be modeled by the equation h = -.002d2+ .18d + 4.
a) What is the highest point the ball reaches?

b) How far from homeplate is the ball when it reaches its highest point?

c) Which player is more likely to catch the ball, the shortstop or the center fielder?

Click here to see answer by Earlsdon(6294)

Question 156130: In his second time at bat, the equation h= -.0015d2+ .5d + 4 can be used to model the path of the ball hit by Cecil Fielder. The ball is hit toward the portion of the left field wall that is 347 ft from home plate.

a) The left field wall at Fenway Park is 37 ft high. Did he hit the ball over for a home run? Explain.

b) Along the the third base line, the wall is 315 ft from home plate. Assume that the angle between the third base line and the wall is a right angle. Find the angle between the third base line and the path of the ball.

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

Question 156207: Mike and Colin run around a track a 450 meter track in opposite directions. They start at the same point and start at the same time. Mike's speed is 2.0 m/s and Colins speed is 2.5 m/s. How far will colin run when they meet?
Click here to see answer by checkley77(12844)

Question 156279: One car travels 60mph and another one travels 45mph. If they start from the same place at the same time and travel in the same direction, after how many hours will the faster car be 50 miles ahead of the slower car?
Click here to see answer by jojo14344(1513)

Question 156327: a plumber charged $110 for three-hour job and $160 for a five-hour job. At this rate, how much would he charge for an eight-hour job?
Click here to see answer by gonzo(654)

Question 156552: Need help with setting up formula for: An express train is 19mph faster than a freight train. The express train travels 420 miles in the same time that it takes the freight train to travel 300 miles. Find the speed of each train.
Click here to see answer by oscargut(2103)

Question 136775: If a car travels 20 km per hour between two cities. How fast must the car travel to average 40 km per hour for the round trip
Click here to see answer by Alan3354(69443)

Question 156526: Q25- A motorboat can maintain a constant speed of 16 miles per hour relative to the water.The boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes.What is the speed of the current?
Q33- Working together on a job. Trent can deliver his newspapers in 30 minutes.It takes Lois 20 minutes to do the same rout.How long would it take them to deliver the newspapers if they work together
Click here to see answer by ankor@dixie-net.com(22740)

Question 156546: Two trains are traveling toward each other and are 950 miles apart. One plane is flying at 170 mph .The other is flying at 210 mph. In how many hours will the planes pass each other?
Click here to see answer by checkley77(12844)

Question 156545: A train left mooseport traveling west at 50mph.One hour later , another train left Mooseport traveling east at 70 mph. How many hours had the first train been traveling when they were 350 miles apart?
Click here to see answer by checkley77(12844)

Question 156525: Q25- A motorboat can maintain a constant speed of 16 miles per hour relative to the water.The boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes.What is the speed of the current?
Q33- Working together on a job. Trent can deliver his newspapers in 30 minutes.It takes Lois 20 minutes to do the same rout.How long would it take them to deliver the newspapers if they work together
Click here to see answer by checkley77(12844)

Question 156573: The height h, in feet of a baseball above the ground t seconds after it is hit, is given by h= -16t^2 + 50t +4.5
Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.
Show all of your algebra work.
Click here to see answer by gonzo(654)

Question 156507: A moving van leaves the house traveling at an average rate of 35 mi/h. The family leaves the house 3/4 hour later following the same route in a car. They travel at an average rate of 50 mi/h.
a. write an expression for the time traveled by the car.
b. copy and complete this table:
moving van - rate: _____ time:_____ distance traveled: _____
car rate: _____ time:_____ distance traveled: _____
c. write and solve an equation to find out how long it will take the car to catch up with the moving van.
Click here to see answer by josmiceli(19441)

Question 156604: A train travelled at m mi at a speed of s mph. A bus followed the same rout travelled 5 mph slower. How much longer did the bus take than the train to make this trip? Write the answer as a singla rational expression.
Click here to see answer by stanbon(75887)

Question 156603: A train travelled at m mi at a speed of s mph. A bus followed the same rout travelled 5 mph slower. How much longer did the bus take than the train to make this trip? Write the answer as a singla rational expression.
Click here to see answer by nerdybill(7384)

Question 156637: 30) Two planes left an airport at noon. One flew east at a certain speed and the other flew west twice the speed. The planes were 2700 mi (miles) apart in 3 h (hours). How fast was each plane flying?
50) Michael drove to a friend's house at a rate of 40 mi/h (miles per hour). He returned by the same route at a rate of 45 mi/h. The driving time for the round trip was 4 h (hours). What is the distance Michael traveled
Click here to see answer by stanbon(75887)

Question 156654: On a 255-mile trip, Gary traveled at an avg. apeed of 70mph, got a speeding ticket, and then traveled at 60mph for the remainder of the trip. If the entire trip took 4.5 hours and the speeding ticket stop took 30 minutes, how long did Gary speed before getting stopped? I tried using various formats of distance=rate x time and couldnt figure anything out to set up an equation.
Click here to see answer by scott8148(6628)

Question 156743: the fast freight train made the trip in 6 hours. The next day the slow freight train made the same trip in 8 hours. What was the speed of the slow freight train if the fast freight train traveled 20 mph faster than the slow freight train?
Click here to see answer by nerdybill(7384)

Question 156854: a car is traveling at a speed of 55 miles per hour. you want to write an algebraic expression to show how far the car will travel in a certain number of hours. what will be your constant? your variable?
Click here to see answer by Earlsdon(6294)

Question 156846: If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes. One of the pipes can fill the pool itself in 2 hours. How long will it take the other pipe to fill the pool itself?
Click here to see answer by ankor@dixie-net.com(22740)

Question 156861: Two runners leave the starting gate, one running 12mph and the other 10mph. If they maintain the pace, how long will it take for them to be 1/4 mile apart?
Click here to see answer by Alan3354(69443)

Question 156837: trains a and b sre traveling in the same direction on parallel tracks. train a is traveling at 40 mile per hour and train b is traveling at 60 miles per hour. train a passes a station at 5:25pm. if train b pass the same station at 5:37pm what time will train b catch up to train a
Click here to see answer by checkley77(12844)

Question 156928: A bus traveled 2 hours at a certain speed, then decreased the speed by 20 miles/hr and traveled for 3 more hours. If the total distance traveled is estimated between 250 miles and 330 miles, find the range of the initial speed of the bus.
Click here to see answer by gonzo(654)

Question 156995: Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
Click here to see answer by gonzo(654)

Question 157006: Romeo first saw Jliet when she was 87 meters away.He started running towar him at a rate of 4m/s. How many seconds after Romeo first saw Juliet did they meet?
Click here to see answer by jojo14344(1513)

Question 157162: Mr. Anders and Ms. Rich each drove home from a business meeting. MR. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per hours. In how many hours were they 100 kilometers apart.
I come up with 1.5 hours by dividing 180 by 100. Not sure this is correct. Please help. Thanks.
Click here to see answer by ptaylor(2198)

Question 157144: Frank rides his bike 4 mph faster than he walks. He can bike from home to work in thesame amount of time that it takes him to walk from home to the park. If the distance from Frank's home to work is 10 miles and the distance from his home to the park is 2 miles, what is Frank's walking speed?
Click here to see answer by ankor@dixie-net.com(22740)

Question 157280: A train left mooseport travelling west at 50mph. One hour late, another train left mooseport traveling east at 70mph. In how many hours had the first train been traveling when they were 350 miles apart?
Click here to see answer by jojo14344(1513)

Question 157291: Every day Tim drives to work. One Monday morning, with heavy traffic, Tim averaged 30 miles per hour on the way in, and 50 miles per hour on the way home. What was Tim�s average speed for the entire trip?
Is it possible to determine how far Tim drives to work? Explain.

Click here to see answer by midwood_trail(310)

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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