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

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Question 130565: A patrol plane flies 220 miles per hour in still air. It carries fuel for 4 hours of safe flying. If it takes off on patrol against a wind of 20 miles per hour, how far can it fly and return safely?
Click here to see answer by solver91311(24713)

Question 130703: I need help setting this problem up please... The question reads: "Two trains, an express and a commuter , are 150 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 faster than the commuter. Find the speed of each train." Thanks for you help!!
Click here to see answer by ptaylor(2198)

Question 130733: With a head wind, a plane traveled 1000 mi in 4 h. Withe the same wind as a tail wind, the return trip took 3 h 20 min. Find the plane's air speed and wind speed.
Click here to see answer by solver91311(24713)

Question 130923: A car and a train leave station A at the same time for station B, 300 miles away. If the speed of the car averages twice the speed of the train and the car arrives 7.5 hours before the train, find the speed of the car and the speed of the train in mph.

Click here to see answer by seng0111(2)

Question 130942: A paddle boat can move at a speed of 12 km/h in still water. The boat is paddled 6 km downstream in a river in the same time it takes to go 3 km upstream. What is the speed of the river?
Click here to see answer by checkley71(8403)

Question 131076: i need help with this problem
Robert rented a truck for one day. There was a rental fee of $16.95, and there also was a charge of 17 cents for each mile. Robert paid $63.02 when he returned the truck. For how many miles did he drive the truck?

Click here to see answer by checkley71(8403)

Question 131078: please help me solve this problem
Ron will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $59.96 for two days plus 15 cents per mile. The second plan costs $55.96 for two days plus 19 cents per mile. How many miles does Ron need to drive for the two plans to cost the same?

Click here to see answer by checkley71(8403)

Question 131082: please help solve this problem
The length of a rectangle is twice its width. If the area of the rectangle is 162m2 , find its perimeter.

Click here to see answer by checkley71(8403)

Question 131083: I need help with this problem
The perimeter of a rectangular garden is 298 feet. If the width of the garden is 66 feet, what is its length?

Click here to see answer by fners(16)

Question 131074: I need help with this problem
A local hamburger shop sold 639 hamburgers and cheeseburgers on Tuesday. They sold 61 fewer cheeseburgers than hamburgers. How many hamburgers did they sell?

Click here to see answer by fners(16)

Question 130883: During the first part of a trip, a canoeist travels 75 miles at a certain speed. The canoeist travels 24 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip?
The speed on the first part of the trip was ____ mph.
The speed on the second part of the trip was ____ mph.

Click here to see answer by ptaylor(2198)

Question 131228: a motorcycle breaks down and the rider has a to walk the rest of the way to work. the motorcycle was traveling at 45mi/h. the distance from home to work is 25 miles, and the total time for the trip was 2 hours. how far did the mototcycle go before it broke down?
I got this far
moto/45/t
walk/6/t
Click here to see answer by stanbon(75887)

Question 131349: In a 6-mile run, Cindy finished 15 minutes ahead of Bill. Cindys speed was 2 miles per hour faster than Bills speed. What was Bills speed?
Click here to see answer by checkley71(8403)

Question 131720: A passenger plane made a trip to Las Vegas and back. On the trip there it flew 432 mph and on the return trip it went 480 mph. How long did the trip there take if the return trip took nine hours.
Click here to see answer by josmiceli(19441)

Question 131721: A cattle train left Miami and traveled toward New York. 14 hours later a diesel train left traveling at 45 km/h in effort to catch up to the cattle train. After traveling for four hours the diesel train finally caught up. What was the cattle train's average speed?
Click here to see answer by checkley71(8403)

Question 131829: How do I set it up to solve it?
Click here to see answer by solver91311(24713)

Question 131843: Can you help me solve this problem:
It takes a passenger train 2 hours less time than it takes a freight train to make the trip from Central City to Clear Creek. The passenger train averages 96 km/h while the freight train averages 64 km/h. How far is it from Central City to Clear Creek?
Click here to see answer by TakeATuition.com(57)

Question 131954: A motorboat travels 414km in 6 hours going upstream and 856km in 8 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?
Click here to see answer by stanbon(75887)

Question 131964: A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping gear, sets out by car. How fast must the father drive to overtake the boy in 15 minutes?
Click here to see answer by rapaljer(4671)

Question 131961: With a certain tail wind a jet aircraft arrives at its destination, 1,890 miles away, in 3 hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. Find the wind speed and the plane's airspeed.
Click here to see answer by checkley71(8403)

Question 131974: You are entered in a driving contest and you are expected to maintain an average speed of 60 mph for two miles. Unfortunately, your car develops a miss and you can only maintain a speed of 30 mph for the first mile. How fast do you have to drive the second mile in order to meet the overall average speed requirement? (I thought is was 90 mph, but that is incorrect.)
Click here to see answer by ptaylor(2198)

Question 132060: HELP..lol. A driver who drives at a speed of r mph for t hr will travel a distance d mi given by d=rt mi. How far will a driver travel at a speed of 56 mph for 4 hr?
Click here to see answer by checkley71(8403)

Question 132077: There is a train station located at some point on a circular track of radius 30/pi miles. Train A leaves the station at 12:00 traveling 90 mph in the counterclockwise direction. Two and half hours later train B leaves the same station traveling in the same direction but at 85 mph. When train A catches B, how many laps has each train done total?
Click here to see answer by kev82(151)

Question 131953: In a family there are two cars. In a given week, the first car gets an average of 25 miles per gallon, and the second car gets 20 miles per gallon. The two cars combined drive a total of 1550 miles in that week, for a total gas consumption of 70 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by harecurtis(6)

Question 131960: At 2:00 pm, two cars start toward each other from towns 240 miles apart. If the rate of one car is 10 mph faster than the other, how fast does each car go, if they meet at 5:00 P.M.?
Click here to see answer by checkley71(8403)

Question 132127: 0 < 1 - 5x/8 < 9/20

Click here to see answer by stanbon(75887)

Question 132283: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
Click here to see answer by nycsharkman(136)

Question 132284: If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
Click here to see answer by nycsharkman(136)

Question 132266:
A car and a bus set out a 2 p.m. from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours, the car is 20 miles ahead of the bus. Find the rate of the car.

Click here to see answer by checkley71(8403)

Question 132265: A car and a bus set out a 2 p.m. from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours, the car is 20 miles ahead of the bus. Find the rate of the car.

Click here to see answer by checkley71(8403)

Question 132316: 6. A house is to be connected to a new water main
that runs along the line y=1/2x-4. The connection point at the house has coordinates(1,4), where the units represent metres. What length of plastic pipe is needed to connect to the water main at the closest point? Solve this question algebraically, but a graph could be included, (HINT: the shortest distance between a point and a line is the perpendicular distance).
Click here to see answer by stanbon(75887)

Question 132449: 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 hrs. later. What are their speeds?
Click here to see answer by checkley71(8403)

Question 132590: If train leave Texas at 11am and arrives at 2pm in Nevada, and another train leaves Nevada at 10am and passes through Texas at 1pm. What time will those two trains meet if both train are running at 105mph?
Click here to see answer by checkley71(8403)

Question 132751: With Current, a motorboat travels 60 mi in 3 h. Against the current, it takes 2h longer to travel 60 mi. Find the rate of the current.
Click here to see answer by solver91311(24713)

Question 132772: Please help me solve this word problem:
If a boat uses 19 gallons of gas to go 73 miles, how many miles can the boat travel on 57 gallons of gas?
Click here to see answer by solver91311(24713)

Question 132806: The speed of a passenger train is 14 mph faster than the speed of a feight train. The passenger train travels 400 mi in the same time that it takes the freight train to travel 330 mi. Find the speed of each train.
Click here to see answer by solver91311(24713)

Question 132810: a boat travels 50km downstream in the same time that it takes to go 30km upstream. The speed of the boat in still water is 16 km/h. Find the speed upstream.
Click here to see answer by nycsharkman(136)

Question 132829: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle
Click here to see answer by ptaylor(2198)

Question 132953: A plane leaves an airport traveling at an average speed of 240 kilometers per hour. How long will it take a second plane traveling the same route at an average speed of 600 kilomenters per hour to catch up with the first plane if it leaves 3 hours later?
Click here to see answer by ptaylor(2198)

Question 132952: Running at an average rate of 6 meters per second, a sprinter ran to the end of a track. The sprinter then jogged back to the starting point at an average rate of 2 meters per second. The total time for the sprint and the jog back was 2 minutes 40 seconds. Find the length of the track.
Click here to see answer by ptaylor(2198)

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