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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 57: After leaving Moose Jae, Hanson drove 100 kilometers at x km/hr and then decreased his speed by 20 km/hr and drove another 200 additional kilometers. Write a rational expression for his total traveling time.
Evaluate the expression if x=100
Click here to see answer by AnlytcPhil(958)   |
Question 60: Afreight train and an express train leave towns 390km apart, traveling toward one another. The freight train travels 30km per hr slower than the express train. They pass another 3 hr. later. What are their speeds!
Click here to see answer by ichudov(404)  |
Question 135: I need help with this word problem. It seems easy at first, but the answer that I got was denied by my math teacher. He said it's supposed to be harder than that. So here it goes:
A man is traveling up a hill at 30 mph and immediately returns down. His average speed for the whole trip is 45 mph. What is the man's speed going down the hill?
At first, I thought it was 60 mph, but my algebra teacher said it was wrong. Is it because the word problem does not say how long it took the man to travel up and down the hill? My algebra teacher said that the question was answerable, so please help me out. Thank you.
Katie, 14
Click here to see answer by ichudov(404) |
Question 245: Two planes leave O'Hare Airport in Chicago at the same time. One flies directly east at 540 mph. The other flies directly west at 720 mph. How long will it take them to be 1890 miles apart?
Click here to see answer by ichudov(404) |
Question 1158: Tasha's school bus usually drops her off in town every day at 4pm and her mother picks her up at the bus stop. Last Friday was a short day, only Tasha's mother forgot so she wasn't at the bus stop when Tasha was dropped off an hour early, at 3pm. Since Tasha had forgotten her cell phone at home, she decided to walk home along her mother's driving route. Her mother left home at the usual time and picked Tasha up along the way. They arrived home 10 minutes before their usual arrival time. At what time did Tasha's mother pick her up? Can you determine how far Tasha walked and/or how far her home is from the bus stop?
Click here to see answer by khwang(438) |
Question 1157: Two trains, one 500 meters long and the other 1000 meters long, are traveling in opposite directions on parallel tracks. The first train is traveling at 100km/h and the other at 80km/h. How long will it take for the trains to pass each other from the moment the locomotives are at the same point?
Click here to see answer by khwang(438) |
Question 1200: Jon averages 30mph when he drives on the highway to his house and 50mph on the interstate. If both routes are the same length, and he saves 2 hours by traveling on the interstates, how far away is his house?
A farmer has 300ft of fencing and wants to enclose a rectangular area of 500ft square. What dimensions should he use? (p=2l+2w, A=l*w)
Click here to see answer by khwang(438) |
Question 1237: How would I start to solve this problem? A plane leaves an airport at 3 pm. At 4 pm. another plane leaves the same airport traveling the same direction at a speed 150 miles per hour faster than the first plane. Four hours after the first plane takes off, the second plane is 250 miles ahead of the first plane. Find the speed of each plane. How far did the second plane travel?
Click here to see answer by khwang(438) |
Question 1218: I actually have two, but they are similar.
Problem A: Candice and Pat walked to the site in 9 hours. The next morning they jogged home in 3 hours. How far did they jog if they jogged 4 miles per hour faster than they walked?
Problem B: On Monday, Voltaire drove to town at 60 miles per hour. On Tuesday, he drove to town at 40 miles per hour. If the total traveling time for both trips was 15 hours, how far was it to town?
Thanks so much!
Click here to see answer by khwang(438) |
Question 1199: a bullet train which is 40km/hr faster than the existing train will replace the existing train on an 850km journey. If the bullet train does the journey 3hours faster than the existing train, what are their speeds?
Click here to see answer by khwang(438) |
Question 1321: If one vehicle is going eastbound at 20 mph, and another vehicle is traveling westbound at 55 mph, how many seconds would it take the car going eastbound to turn around and catch up to the westbound car ?
Click here to see answer by khwang(438) |
Question 1346: I am having problems setting this equation up. The problem is: If two cars leave the same location at the same time, And car one is traveling 20 MPH faster than car two in opposite directions, and they are 168 miles apart 1 1/2 hours later...how fast is each one going? Your help is GREATLY needed. Thank you!
Click here to see answer by khwang(438) |
Question 1346: I am having problems setting this equation up. The problem is: If two cars leave the same location at the same time, And car one is traveling 20 MPH faster than car two in opposite directions, and they are 168 miles apart 1 1/2 hours later...how fast is each one going? Your help is GREATLY needed. Thank you!
Click here to see answer by usyim88hk(157) |
Question 1376: Antoine rode his bike the 4 miles to the fair at a relaxed pace. He stayed to long and had to double his speed on the way back in order to get home in time for dinner. If his total time traveling was 3 hours, how fast did he travel in each direction?
Click here to see answer by khwang(438) |
Question 1466: This is a car problem. But what I don't understand is how to take the information in the sentences and turn them into a problem to be worked out. So here it is...A car leaves Washington, D.C., for New York City at the same time another car leaves New York City for Washington, D.C. The car from Washington, D.C., travels at an average rate of 45 mi/h; the other car averages 55 mi/h. If the two cities are 240 mi apart, how soon will the cars meet and how far will each have traveled? What I basically need is some direction on how to solve this problem, and how to write an equation for it so that i can solve it. It's got me stomped BIG TIME! Thanks for your time!
Click here to see answer by usyim88hk(157) |
Question 1719: I have 2 questions!
1. The speed of a stream is 6MPH. If a boat travels 92 miles downstream in the same time that it takes to travel 46 miles upstream, what is the speed of boat in still water. ( I know the answer is 18 MPH, just need to know the solution)
2. Martha can rake the leaves in her yard in 2 hours. Her younger brother can do the job in 3 hours. How long will it take them to do the job if they work together. ( I know the answer is 5/6 hours, just need to know the solution)
Click here to see answer by longjonsilver(2297)  |
Question 1825: after stacy sees a lightning flash, its takes 8.34 seconds for her to hear the thunder. knowing that sound travels at 1129 feet per second, which of the following would be the best estimate of the distance in feet between her location and the storm?
Click here to see answer by longjonsilver(2297) |
Question 1861: I am not sure how to find either of the unknowns in this equation. Either that or I am missing something that is known. A bank robber robs a bank and speeds away on the freeway at 80 miles/hour. Thirty minutes later police officers take off in pursuit at 90 miles/hour. How long will the police have to drive to catch up and how far from the bank will they catch the robbers?
Click here to see answer by longjonsilver(2297) |
Question 1734: A deer is standing 80m in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 20m from the tunnel. If the deer ran in the opposite direction it would be hit by the train at the Eastern entrance.
How long is the tunnel?
Click here to see answer by khwang(438) |
Question 1889: One mile upstream from his starting point, a rower passed a log floating with the current. After rowing upstream for one more hour, he rowed back and reached his starting point just as the log arrived. How fast was the current flowing??
Click here to see answer by khwang(438) |
Question 2166: A hiking club set out at 12 noon. The members hiked along a level road at a rate of 4 mph; up a mountain trail at 3 mph;immediately back down the mountain trail at 6 mph,and back home along the level road again at 4 mph. They got back at 6pm. How far did the club hike?
Click here to see answer by khwang(438) |
Question 2154: A postal truck leaves its station and heads for Chicago, averaging 40mph. An error in the mailing schedule is spotted and 24 min. after the truck leaves, a car is sent to overtake the truck. If the car averages 50mph, how long will it take to catch the postal truck?
Click here to see answer by khwang(438) |
Question 2208: a family decided to spend the weekend in phoenix. they drove out on friday, they hit no traffic and made the trip in 4 hours. when they came home sunday however, they encountered a lot of traffic.their average speed on the return trip was 15mph slower then the speed on thier friday drive to phoenix,and it took them 5 hours to get home.how far is phoenix from their home?
Click here to see answer by khwang(438) |
Question 2190: a train traveled form its terminal to an ocean resort at 90/km/h and then returned at 72km/h. What is the rail distance between the train terminal and the ocean resort if the round trip travel time was 9 hours?
Click here to see answer by gsmani_iyer(161) |
Question 2306: None of the cars finished the race here is what happend
car A broke 1/9th into last 3rd of race. How far did car A go?
car B completed the first 1/2 of 13/16th of the race how far did car B go?
car C broke with 1/3 left of race how far did car C go?
car D broke with 1/5 of the last 5th of race completed, how far did D go?
car E went 1/2 as far as car B how far did car E go?
Car F went 2/3 as far as car B how far did car f go?
Who went the farthest? who went the shortest.
Click here to see answer by longjonsilver(2297) |
Question 2419: Airport activity
O'Hare International Airport in Chicago has a flight leaving for New York every 45 minutes and a flight leaving for Atlanta every 60 minutes. If a flight to New York and a flight to Atlanta leave at the same time, how many minutes will it be before a flight to New York City and a flight to Atlanta again leave at the same time?
Work Schedules
Sara Pappas and Harry Kinnan both work the 3:00 pm to 11:00 pm Shift. Sara has every fifth night off and Harry has every sixth night off. If they both have tonight off, how many days will pass before they have the same night off again?
Click here to see answer by khwang(438) |
Question 2419: Airport activity
O'Hare International Airport in Chicago has a flight leaving for New York every 45 minutes and a flight leaving for Atlanta every 60 minutes. If a flight to New York and a flight to Atlanta leave at the same time, how many minutes will it be before a flight to New York City and a flight to Atlanta again leave at the same time?
Work Schedules
Sara Pappas and Harry Kinnan both work the 3:00 pm to 11:00 pm Shift. Sara has every fifth night off and Harry has every sixth night off. If they both have tonight off, how many days will pass before they have the same night off again?
Click here to see answer by borzeya(6) |
Question 2588: Mary left home at 12 noon and drove to visit her mom who lives 20 miles away. After she arrived she stayed for 2 hours. Afterwards she drove to her friend Sue's house who lives 15 miles from her mom. She arrived at Sue's at 3 oclock. If her speed heading for Sue's was 5 miles per hour faster than her speed going to her mom's, find her average speed on her way to Sue's.
Click here to see answer by khwang(438) |
Question 2588: Mary left home at 12 noon and drove to visit her mom who lives 20 miles away. After she arrived she stayed for 2 hours. Afterwards she drove to her friend Sue's house who lives 15 miles from her mom. She arrived at Sue's at 3 oclock. If her speed heading for Sue's was 5 miles per hour faster than her speed going to her mom's, find her average speed on her way to Sue's.
Click here to see answer by kiru_khandelwal(79) |
Question 3361: Aviation: The number of miles that remain to be flown by a commerical jet traveling from boston to Los Angeles can be approxiamated by the equation
Miles remaining = 2650-475t
Where t is the number of hours since leaving boston. In how many hours will the plane be 100 miles from Los Angeles: Round to nearest tenth of an hour.
Click here to see answer by drglass(89) |
Question 3379: An airplane leaves Los Angeles for Denver at a speed of 410 miles per hour (mph). Thirty minutes later, a plane going from Denver to Los Angeles leaves Denver, which is 850 miles from Los Angeles, at a speed of 530 mph. When they meet, how far are they from Denver?
Click here to see answer by drglass(89) |
Question 3388: Two trains, an express and commuter, are 210 miles apart. both start at the same time and travel toward each other. they meet 3 hours later. the speed of the express is 10 miles per hour fasther than the commuter. find the speed of each train
Click here to see answer by drglass(89) |
Question 3442: Sue heads due west from Dry Gulch on U.S. 6.5 at a steady speed of 55 mph (miles per hour) while Don heads due east from Wet Hollow (which is 830 miles west of Dry Gulch) on the same hiway at 65 mph but he starts 2 hours after Sue did. How many miles did Don travel before they met?
Click here to see answer by khwang(438) |
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