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

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Tutors Answer Your Questions about Travel Word Problems (FREE)


Question 125482: Either I missed something or the plane has lost distance.
A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. The plane, while out of the jet stream, covered 550 miles less than it did during the 5 hours it was in the jet stream. How fast was the plane flying out of the jet stream?

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Question 125482: Either I missed something or the plane has lost distance.
A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. The plane, while out of the jet stream, covered 550 miles less than it did during the 5 hours it was in the jet stream. How fast was the plane flying out of the jet stream?

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Question 125493: Train A leaves a station traveling at 60 miles per hour. Six hours later train B leaves the same station traveling in the same direction at 80 miles per hour. How long does it take for train B to catch up to train A. Please Help Me!!
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Question 125492: I'd greatly appreciate it if some one could help me. Thanks!! Richard's average driving speed is 7 miles per hour faster than Mia's. In the same length of time it takes Richard to drive 318 miles, Mia only drives 276 miles. What's Richard's average driving speed.
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Question 125584: a long distance runner, runs at an average velocity of 8mph. Two hours after Tanya leaves your house, you leave in your honda and follow the same route. If your average velocity is 40 mph, how long will it be before you catch up with Tanya? How far will you be from your home?
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Question 125594: a park has two sprinklers that are used to fill a fountain. one sprinkler can fill the fountain in 3 hrs, wheras the secound sprinkler can fill the fountain in 6 hours. how long will it take to fill the fountain using both sprinklers.
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Question 125417: I just need to figure out the formula to solve this problem. On the first part of a 317-mile trip, a salesperson averaged 58 miles per hour. He averaged only 52 miles per hour on the last part of the trip because of an increased volume of traffic. The total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speeds??????
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Question 125684This question is from textbook Intermediate Algebra Review
: I am having a problem with setting this problem up to solve it.
_______________________________________________________________________________
Bill and Chris left the student union at the same time on bicycles. Bill traveled east, and Chris traveled west. After 1/2 hour, they were 14 miles apart. If Bill was going 2 miles per hour faster than Chris, how fast was each of the bicycles going?
This question is from textbook Intermediate Algebra Review

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Question 125668: A car is driven 50,000 miles. Its 5 tires (one is the spare)are rotated regularly and frequently. How many miles will any one tire have travelled on the road by the end of the trip?
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Question 125702: I not sure how to write the equation for this one the one i did was wrong.
To get to his parents' house, John must travel at a speed of 60 mph on land and then use a motorboat that travels at a speed of 20 mph in still water. John goes by land to a dock and then travels on a river against a current of 4 mph. He reaches his parent's home in 4.5 hours. The return trip takes him 3.5 hours. How far do his parents live from his house?

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Question 125716: Two planes leave from the same airport at the same time but travel in opposite directions. One flies 60 mi/h faster than the other. They are 1,820 miles apart after 2 hours. How fast is each plane traveling?
Yes, I'm very new to algebra. Thanx for any help!

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Question 125513: a boat goes upstream 30 miles and downstream 44 miles in 10 hours.the next day it goes upstream 40 miles and downstream 55 miles in 13 hours.what is the average speed of the boat and the stream?
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Question 125793: Calculate the speed of the following:
A man runs 1000 metres in 184 seconds (calculate his speed in kiometres per hour)
thankyou

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Question 125596: an air rescue plane averages 300 miles per hour in still air. It carries enough fuel for 5 hours of flying time. If, upon takeoff it encounters a head wind of 30 mi/hr and the wind remains constant, how far can the plane fly and then return safely.
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Question 126076: After leaving the boathouse, a rower rowing upstream passes a log 2 km upstream from the boathouse. The rower rows upstream for one more hour and then rows back to the boathouse, arriving at the same time as the log. How fast was the current flowing?
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Question 126320: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pi^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing.
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Question 126310: Find the distance covered by a car traveling 60mph for 5hrs
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Question 126539: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are ________?
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Question 126593: Two trains leave a city at the same time. One travels north, and the other travels south 20 mph faster. In 2hr, the trains are 280 mi apart, find their speeds.
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Question 126593: Two trains leave a city at the same time. One travels north, and the other travels south 20 mph faster. In 2hr, the trains are 280 mi apart, find their speeds.
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Question 126536: The length of the shadow of a flagpole was found to be 72 feet. The shadow of a 3 foot picket fence in line with the flagpole was 4 feet. What is the height of the flagpole?

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Question 126606: At 1pm your friend leaves for college traveling on the interstate at a constant speed of 65mph. At 1:24pm you realize he has forgotten some necessary things for living away at colleg. You drive after your friend maintaining a speed of 70mph. If neither of you alter your speed, how many miles will you travel before you overtake him?
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Question 126677: hi!
im having some problems with my word problem.
Ann regularly swam .4 km in 20 min at the school pool. Swimming in a river against the current, she swan .25 km in the same time it took Ann to swim .75 km with the current. Dind the speed of the current and the time it took ann to swim.
help please!

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Question 126645: The speed of a passenger train is 12 mph faster than the speed of a freight train. The passenger train travels 270 miles in the same time it takes the freight train to travel 210 miles. Find the speed of each train.
Passenger train _________ mph
Freight train __________ mph

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Question 126743: John can run six miles per hour and Bill can run four miles per hour. If they run in opposite directions for two hours, then how far apart will they be?
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Question 126769: A mother jogs at the same rate of 4.5 mph and her daughter jogs at a rate of 5 mph. The mother begins her jog and 15 minutes later the daughter begins her jog following the same route. How long will it take the daughter to overtake her mother and how far will they have jogged?
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Question 126764: A long distrance trucker traveled 260 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 5 hours less time. Find the speed going.
The speed going was _______ mph.
This is not from a textbook and I'm having difficulties understand how to set up the problem.

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Question 126797: A weather plane flies due north into a 40 mph wind until it reaches the North Pole, at which point it returns to its original position along the same route. The average velocity for the round trip was 396 mph, even though the plane was flying at its maximum velocity the entire time. What is the maximum velocity of the plane (in mph) when there is no wind?
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Question 127012:
Two trains start toward each other at the same time from towns 450 miles apart. One train travels 6 miles per hour faster than the other train. What is the speed of each train if they meet in 5 hours?
This is what I tried : r+6*5=450
r*5=450
r= 90
What am I doing wrong?

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Question 127073: Car A runs 30kmph less than Car B. Car A covers 250 km in the same time Car B travels 400 km. What are the rates of each car?
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Question 127316: at 1pm your friend leaves for college traveling on the interstate at a constant speed of 65mph. at 1:24 you realize he has forgotten some necessary things for living away at college. you drive after your friend maintaining a speed of 70 mph. if neither of you alter your speed, how many miles you travel before you overtake him?
Click here to see answer by ankor@dixie-net.com(6688) About Me 

Question 127370: two trains are 276 miles apart, and their speeds differ by 10mph. they are traveling towards each other and will meet in 3 hours. find the speed of the slower train
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Question 127407: Ching leaves San Francisco and travels toward Los Angeles at 50mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
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Question 127618: Two cars start at the same place and time and travel in opposite directions. One car is traveling 15 kph faster than the other. After 5 hours, the two cars are 275 km apart. Find the speed of each car
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Question 127618: Two cars start at the same place and time and travel in opposite directions. One car is traveling 15 kph faster than the other. After 5 hours, the two cars are 275 km apart. Find the speed of each car
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Question 127673: A truck traveling at a constant rate of 45 mph leaves Tampa. One hour later a car traveling at a constant rate of 60 mph also leaves Tampa traveling in the same direction on the same highway. How long will it take for the car to catch up to the truck if both vehicles continue in the same direction on the highway?
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Question 127736: A plane flies 900 miles with a tail wind in 3 hours. It takes the same plane 4 hours to fly the 900 miles when flying against the wind. What is the plane's speed still in the air?
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Question 127641This question is from textbook algebra and trigonometry with analiytic geometry
: It has been estimated that 1000 curies of a radioactive substance introduced at a point on the surface of the open sea would spread over an area of 36000 km^2 in 40 days. Assuming that the area covered by the radioactive substance is a linear function of (t) time and is always circular in shape, express the radius (r) of the contamination as a function of (t).
please i need your help, i don't know how...
This question is from textbook algebra and trigonometry with analiytic geometry

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Question 127785: I have a question about how to do this and what it would be.
Yearsw after the famous foot race, the hare challenged the tortise to a rematch on bicycles. the hare was able to pedal at a rate of 15 MPH while the tortise could only pedal at 12 mph. knowing he was slower, the tortise made up a lame excuse to be given a 27 mile head start. in the 165 mile race.
1. Who won the race? by how much time? explain
2. How far into the race did the hare overtake the tortoise?
3. what is the largest head start that tortise could have been given without being able to beat the hare?
4. suppose a chipmunk entered the race with an 84 mile head start traveling 9mph. develope an equation for the chipmuck and calcutate when teh hare would finally catch up to the chipmunk assuming the race does not end at 165 miles.
5. a confused pig also followed the race course. the pig started at the finish line at a rate of 15v mph traveling backwards. where and when did he meet the hare on the road?
I'm not very good with word problems and i don't think we have covered this in class. we were working on point intercept form ECT.

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Question 128016: Please help me i have no clue how to do this!
Years after the famous foot race, the hare has challenged the turtle to a rematch on bycicles. that hare can pedal a rate of 15mph while the tortise can only travel 12 mph. knowing he was slower, the tortoise requested haveing a 27 mile head start in the 165 mile race.
1. WHo won the race? by How much Time?
2. How far into the Race did the hare overtake the tortise?
3. What is the largest head start the tortise could have been given without being able to beet the hare?
4. suppose a chipmunk entered the race with a 84 miles head start and can pedal at 9 mph. develope an equation for the chipmunk and calculate when the hare would finally catch up to the chipmunk assuming the race doesn't end @ 165 miles.
5.
a pig enters the race. he starts at the finish line riding backwards, at a rate of 15mph where and when will he meet the hare on the road?
THank you

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Question 128132: John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?


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Question 128131: Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
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Question 128230This question is from textbook Algebra for College Students
: If the speed of a boat is still water is 10 mph, and sthe speed of the current of a river is x mph, what is the speed of the boat
(a) going upstream
(b) going downstream
This question is from textbook Algebra for College Students

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Question 128260: Jose left the airport and traveled toward the
mountains. Kayla left 2.1 hours later
traveling 35 mph faster in an effort to catch
up to him. After 1.2 hours Kayla finally
caught up. Find Jose's average speed.

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Question 128349: A car travels 60 miles in the same time that a car traveling 10 per hour faster travels 90 miles. What is the rate of each cars?
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