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

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Word Problems: Travel and Distance

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Question 37569: Noah and Ben are running in the walker street fun run. noah runs at 7mph, ben at 5mph. if they start at the same time, how long will it be before they are 1/3 mile apart?
Click here to see answer by fractalier(1804)

Question 37849: A runner decides to run out in the country. He begins to run at an average rate of 9 miles per hour. He runs a certain distance and then turns around and returns along the same route at an average rate of 6 miles per hour. If the round trip took 2 and a half hours, how far did the runner travel before turning around?
I worked it out And I got no where neer close to 2 and a half hours I got 18 but i dont know what i did so plz help
Click here to see answer by fractalier(1804)

Question 37852: Two students on bicycles laeve their classroom building at 10:00 Am and travel in opposite directions. If the average speed of one of the students is 12 kilometers per hour and the average speed of the student is 14 kilometers per hour, at what time will they be 65 kilometers apart?
I just dont know how to set the problem up and work it out if someone could explain that would be great!!
Click here to see answer by fractalier(1804)

Question 37855: A ship travels the 200 mile route from kearney to Omaha at an average rate of 40 miles per hour. The ship reaches Omaha at 1 p.m. What time did it leave Fort Kearney? (Assume the ship did not cross any time zones.)
Dont ask me I have no clue our teacher never taught us how to work these questions out....Sorry
Click here to see answer by fractalier(1804)

Question 37851This question is from textbook

: 1) A Commuter bus takes 2 hours to get downtown: an express bus, averaging 25mph faster, takes 45 minutes to cover the same route. What is the average speed for the commuter bus?
Also...
2)You commute to work a distance of 40 miles and return on the same route at the end of the day. Your average rate on the return trip is 30 miles per hour faster that your average rate on the outgoing trip. If the round trip takes 2 hours, what is your average rate on the outgoing trip to work?

thank you so much!!This question is from textbook

Click here to see answer by Paul(988)

Question 37771: Hi, I need help!
An airplane leaves Louisville from Cleveland at a speed of 475 mph. 20 min later, a plane heading for Louisville leaves Cleveland, which is 350 miles from Louisville at a speed of 500 mph. When they meet, how far are they from Cleveland?
Thank you so much!
Click here to see answer by checkley71(8405)

Question 38339: a tugboat pushing a barge up the Ohio River takes 1 hour longer to travel 36 miles up the river than to travel the same distance down the river. If the rate of current is 3 mph, find the speed of the tugboat and barge in still water
Click here to see answer by Paul(988)

Question 38343: it takes 2 hours longer to drive to point B at 60 mph than it takes to return at 75 mph. how far is the trip pout to point B?
Click here to see answer by Paul(988)

Question 38344: two planes leave chicago at 8am, one traveling west at a speed 75 mph faster than the other, which is headed east. at 11am, the planes are 2,175 miles apart. how fast are the planes travelling?
Click here to see answer by Paul(988)

Question 38346: emma and shane live 50 miles away from each other and decide to take their bicycles to meet. emma leaves at 7am towards Shane at 18 mph. shane leaves at 7:20am towards emma at 23 mph. how long is each person riding when they meet?
Click here to see answer by fractalier(1804)

Question 38345: a car travelled 450 miles in 7.5 hours. a traffic accident cut the car's driving speed in half for 1.5 hours. what was the car's speed for the remainder of the trip?
Click here to see answer by fractalier(1804)

Question 38475: Two students on bicycles leave their classroom building at 10:00 AM and travel in opposite directions. If the average speed of one of the students is 12 kilometers per hour and the average speed of the other student is 14 kilometers per hour, at what time will they be 65 kilometers apart?
Click here to see answer by Paul(988)

Question 38621: a boat is going a distance of 600km. the way upstram had a current with it at 50 km/h while the one back against the current was 50 km/h also. The total time of the one there was one less thamn the one back. What is the spped of the boat in still air?

Click here to see answer by Paul(988)

Question 38619: A ship using sound-sensing devices above and below water recorded a surface explosion 39 seconds sooner on its underwater device than on its above-water device. If sound travels in air at about 1100 feet per second and in water at about 5000 feet per second, how far away was the explosion?
Click here to see answer by Paul(988)

Question 38491: In the Old West, settlers often fashioned tents out of a piece of cloth grown over tent poles and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 4 meters high and 3 meters wide?
Click here to see answer by checkley71(8405)

Question 38840: Please help me. I've worked on it for a week! If a car averages 40 mph for the first 1/2 mile, how fast must the car go the 2nd half mile to average 60 mph for the whole mile??? Thanks
Click here to see answer by Nate(3495)

Question 38863: Two pipes simultaneously function to fill a tank in 12 hours.If one pipe takes 10 hours less than the other ,find the time taken by the two pipes.
Click here to see answer by Paul(988)

Question 38984: Two cars are driving in opposite directions, one at 55mph and the other at 65 mph. How long will it take before the cars are 300 miles apart.
Click here to see answer by checkley71(8405)

Question 38977: A ship must average 22 miles per hour to make its ten hour run on schedule. During the first four hours, bad weather caused it to reduce its speed to 16 miles per hour. What should its speed be for the rest of the trip to keep the ship on its schedule?
(This is not from a text) Please help with this question, Thank for your time.
Click here to see answer by checkley71(8405)

Question 39099: After flying for 5 hrs., a pilot increased his speed 10 mph. He flew at this speed for 2 hrs., and then decreased the speed to what it had been at first. The entire flying time was 8 hrs., and the distance was 1,532 mi. What was the rate of flying after the speed was increased?
(Not from a text) Could this answer be 400 mph ? Please help, Thank You
Click here to see answer by mbarugel(146)

Question 39118: 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?
Click here to see answer by fractalier(1804)

Question 39287This question is from textbook beggining algebra

: Original equation= h=-5t^2+25t+80
The only part of the height equation that we have not discussed is the constant. You have
probably noticed that the constant is always equal to the initial height of the ball (80 m in
our previous exercises). Now, let’s have you develop a height equation.
A ball is thrown upward from the roof of a building 100 m tall with an initial velocity
of 20 m/s. Use this information for exercises 35 to 38.
36. Science and medicine. When will the ball reach a height of 80 m?This question is from textbook beggining algebra

Click here to see answer by stanbon(26251)

Question 39410: A cyclist rode 1 mile in 3 minutes with the wind and returned in 4 minutes against the wind. Find his speed without the wind.
Click here to see answer by fractalier(1804)

Question 39526: Suppose that the tempature outside is dropping at a constant rate.At noon, the tempature is 70 F,and it drops to 58F at pm ..How much did the tempature change each hour?
I thought it was half hour ,but i was wrong
Click here to see answer by stanbon(26251)

Question 39525: At 7A.M. , the temperature was -15 oF, By 1 P.M. ,the tempature had increased by 18 oF. What was the temperature at 1 P.M. ?
Click here to see answer by stanbon(26251)

Question 39529: Suppose that the tempature outside is dropping at a constant rate.At noon, the tempature is 70 F,and it drops to 58F at 5pm ..How much did the tempature change each hour?

I thought it was half hour ,but i was wrong.Sorry the 5 did not come up in my other post.
Click here to see answer by fractalier(1804)

Question 39532: The quotient when 3 more than a number is dived by 3 less than that same number. Write each of the following geometric expressions using the given symbols
Click here to see answer by fractalier(1804)

Question 39780: driving from tilsa to detriot, jeff averaged 50mph. he figured that if he had average 60mph, his driving time would have decreased 3hrs. how far is it from tulsa to detriot?
Click here to see answer by checkley71(8405)

Question 39830: After Sam and Pat bike in opposite directions for 2&1/2 hours, they are 80km apart. If Pat's rate is 2 km/h more than Sam's rate, find how far each travels.
Click here to see answer by venugopalramana(3286)

Question 39856: IF A CAR IS TRAVELING FROM HIS HOME TO WORK, WHICH IS 15 MILES APART. THE CAR IS TRAVELING 35 MILES PER HOUR. HOW LONG WILL IT TAKE THE CAR TO ARRIVE AT WORK?
Click here to see answer by fractalier(1804)

Question 39900: Towering antennae.
A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the antenna is 10 feet larger than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna?

Click here to see answer by checkley71(8405)

Question 40130: A bicyclist rode into the country for 5 hours. In returning, her speed was 5 miles per hour faster and the trip took 4 hours. What was her speed each way?
Click here to see answer by checkley71(8405)

Question 40308This question is from textbook
: Please help me solve this problem using only one variable.
The Jones family drove to Disneyland at 50 miles per hour and retrned on the same route at 40 miles per hour. Find the distance to Disneyland if the total driving time was 7.2 hours.This question is from textbook

Click here to see answer by stanbon(26251)

Question 40450: A man gets in his motorboat and travels upstream. 1 mile up the river, his hat flys off, but he doesn't notice for another 5 minutes. When he finally does notice, he immediately goes back in persuit of it. He finally catches up to it floating by his starting point. Assuming that the boat was traveling the same speed the whole time, how fast was the river flowing?
Click here to see answer by josmiceli(3003)

Question 40371: Two trains 150 miles apart are traveling toward each other along the same track. The first train goes 60 miles per hour; the second train rushes along at 90 mile per hour. A fly is hovering just above the nose of the first train. It buzzes from the first train to the second train, turns around immediately, flies back to the first train, and truns around again. It goes on flying back and forth between the two trains until they collide. If the fly;s speed is 120 miles per hour, how far will it travel?
Click here to see answer by rajagopalan(125)

Question 40373: A square of shingles covers a 100 square foot area. This is a 10 foot by 10 foot area. One square of shingles usually comes in 3 bundles for standard duty or 4 bundles for heavy duty shingles. 80 square would be a big roof, and would represent 8000 square feet. You want to replace the shingles on your home. The house is a 24 feet by 32 feet ranch style home with a 12:12 pitch roof. The roof has one foot overhangs all around. The lowest cost you can find for shingles is $40 per square. Calculate the cost of replacing the shingles on your house.
Click here to see answer by josmiceli(3003)

Question 40728: a train leaves from san diego going 60 mph and a train leaves at the same time from boston at the same time traveling at 55 mph when and where do they meet
Click here to see answer by checkley71(8405)

Question 40841This question is from textbook Mathematical Ideas
: Jeff leaves his house on his bicycle at 8:30 A.M. and averages 5 miles per hour. His wife, Joan, leaves at 9:00 A.M. following the same path and averaging 8 miles per hour. At what time will Joan catch up with Jeff?This question is from textbook Mathematical Ideas

Click here to see answer by stanbon(26251)

Question 40899: The length of a rectangular frame is 8cm more than the width. The area inside the frame is 105 sq cm. Find the width of the frame.
Click here to see answer by checkley71(8405)

Question 40966: Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?
Click here to see answer by fractalier(1804)

Question 41106: Touchdown. Suppose at the kickoff of a football game, the receiver catches the football at the left side of the goal line and runs for a touchdown diagonally across the field. How many yards would he run? (A football field is 100 yards long and 160 feet wide.)
Click here to see answer by fractalier(1804)

Question 41104: Height of a post. Betty observed that the lamp post in front of her house casts a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? (In a 30-60-90 right triangle, the side opposite 30 is one-half the length of the hypotenuse.)
Click here to see answer by fractalier(1804)

Question 41128: A plane took 1 hour longer to travel 560 miles on the first portion of the flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the seocnd part of the trip?
Is it 6 hours?
Click here to see answer by PaulAllen65270(19)

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