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

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Question 123524: Hi, I would really appriciate your help with this problem
An express bus travels 320 miles in the same amount of time that a car travels 280 miles. The rate of the car is 8 mph less that the rate of the bus. Find the rate of the bus.
Click here to see answer by scott8148(6628)

Question 123539: The rate of the bicyclist is 7 mph faster than the rate of a long-distance runner. The bicyclist travels 30 miles in the same amount of time that the runner travles 16 miles. Find the rate of the runner.
I know you can find rate R= d/t i have 30/x+7 for cyclist and 16/x for runner. I don't know what to do with these numbers now.
Please help
THANK you
Click here to see answer by stanbon(57387)

Question 123556: An airplane flew for 6 hrs w/ a 22-km/h tail wind.THe return flight against the same wind took 8 hrs.Find the speed of the plane in still air.
Click here to see answer by rajagopalan(158)

Question 123652: When a rock is dropped from a cliff into an ocean, it travels approximately feet in seconds. If the splash is heard 2.5 seconds later and the speed of sound is 1100 ft/sec, approximate the height of the cliff.
Please round the answer to the whole number.
Click here to see answer by stanbon(57387)

Question 123681: Hi, I need help with this word problem please!
A motorist drove 150 miles on the country road before driving 50 miles on the mountain road. The rate of speed on the country roads was 3 times the rate on the mountain roads. The time spent traveling the 200 miles was 5 hours. Find the rate of the motorist on the country road.
THANK YOU!
Click here to see answer by stanbon(57387)

Question 123684: An airplane traveling at 450 mph enters a region with a headwind of 25 mph. How long will it take the plane to travel 950 miles into this wind?
Click here to see answer by checkley71(8403)

Question 123779: When a rock is dropped from a cliff into an ocean, it travels approximately 16t^2 feet in t seconds. If the splash is heard 5.5 seconds later and the speed of sound is 1100 ft/sec, approximate the height of the cliff.
Please round the answer to the whole number.
Click here to see answer by stanbon(57387)

Question 123795: I need help writing the equation for this problem. Please tell me why you set the problem up that way.
A plane traveled a distance of 1800 miles in three hours with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Thanks.
Click here to see answer by checkley71(8403)

Question 123759: A boat travels at a constant rate of 8 miles per hour in still water. It travels upstream for 3/4 of an hour. It then turns around and travels downstream, returning to the starting point, in 1/2 of an hour. Find the rate of the current.
What's the answer and how do you solve it. This is driving me crazy! :-D Please Help
Click here to see answer by scott8148(6628)

Question 123747: A boat travels at a constant rate of 8 miles per hour in still water. It travels upstream for 3/4 of an hour. It then turns around and travels downstream, returning to the starting point, in 1/2 of an hour. Find the rate of the current.
What's the answer and how do you solve it. This is driving me crazy! :-D Please Help
Click here to see answer by scott8148(6628)

Question 123805: art leaves at 10am traveling at 50mph. AT 11:30am Jennifer starts in the same direction at 45mph. when will they be 100 miles apart?
Click here to see answer by checkley71(8403)

Question 123814: "A" IS DRIVING 40 MPH. AFTER "A" AS DRIVEN 30 MILES, "B" STARTS DRIVING IN THE SAME DIRECTION AT WHAT RATE MUST "B" DRIVE TO CATCH UP TO "A" IN 5 HOURS?

Click here to see answer by PBMathandscience(9)

Question 123635: The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 am and the airplane starts from the same place at 11 am, they will have traveled the same number of miles by 1 pm. Find the rate of the automobile.
___mph
Click here to see answer by PBMathandscience(9)

Question 123917: A consultant traveled 4 hours to attend a meeting. The return trip took only 3 hours because the speed was 8 miles per hour faster. What was the consultant's speed each way?
Click here to see answer by checkley71(8403)

Question 123958: -3)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 kilometers per hour to catch up with the first plane if it leaves 3 hours later.
Click here to see answer by checkley71(8403)

Question 123956: Vincent's boat will go 13 miles per hour in still water. If he can go 14 miles downstream in the same amount of time as it takes to go 8 miles upstream, then what is the speed of the current?
(Please round your answer to one decimal place.)

Click here to see answer by PBMathandscience(9)

Question 124083: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet?
Click here to see answer by stanbon(57387)

Question 124087: 2nd question (and last) that I am helping my daughter with...I can not seem to place enough information into this to solve.
Two joggers were crossing a railroad bridge when they suddenly heard the sound of an approachin train. they were smart enough to run for safety -- but each one ran in the opposite direction. Happily, each jogger reached his perspective end of the bridge in time to avoid the train.
If they wer 2/5 of the way across the bridge when they heard the train and the train was going 50mph and they both ran at the same speed how fast did the two gys run in miles per hour??
So the guy running toward the train gets off and the train then proceeds down the length of the bridge and the other guy gets off. The 2nd guy then has 1/5 left as the train crosses this bridge of unknown length. is it 1/5th of the speed??
Distance is equal to rate/time. Or do I need the speed of sound factored in??
Click here to see answer by PBMathandscience(9)

Question 124082: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet?
Click here to see answer by PBMathandscience(9)

Question 124081: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet?
Click here to see answer by ankor@dixie-net.com(15660)

Question 124186: A man travels from Town X to Town Y at an average rate of 50 mph and returns at an average rate of 40 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 45 mph. What is the distance from Town X to Town Y
Click here to see answer by ankor@dixie-net.com(15660)

Question 124310: A consultant traveled 7 hours to attend a meeting. The return trip took only 6 hours because the speed was 4 miles per hour faster. What was the consultant's speed each way?
Click here to see answer by stanbon(57387)

Question 124324: Crafts. Marc took 3 hours (h) to mow a lawn while Angelina took 150 minutes
(min) to mow the same lawn a week earlier. Write the ratio of Marc’s time to
Angelina’s time as a ratio of whole numbers

Click here to see answer by ankor@dixie-net.com(15660)

Question 124357: A Long distance runner started a course running an average speed of 2mph. 1.33 hrs later, a cyclist traveled the same course at an average speed of 4mph. how many hrs after the runner started did the cyclist overtake the runner?
round answer to the nearest tenth.
Click here to see answer by ptaylor(2048)

Question 124356: A Long distance runner started a course running an average speed of 2mph. 1.33 hrs later, a cyclist traveled the same course at an average speed of 4mph. how many hrs after the runner started did the cyclist overtake the runner?
round answer to the nearest tenth.
Click here to see answer by ptaylor(2048)

Question 124389: A vacant rectangular lot is being turned into a garden measuring 15m. by 12. with a pathof uniform width surrounding the garden. if the area of the lot is 378sq.m. Find the width of the path surrounding the garden. If any one can help me with this i will be very pleased.
Click here to see answer by checkley71(8403)

Question 124538: A person can drive from town A to town B at a certain rate of speed in 6 hours. If he increases his speed by 20kph he can make the trip in four hours. How far is it from town A to B.
Click here to see answer by Earlsdon(6287)

Question 124676: A girl walked from her home into town at the rate of 4 miles per hour. She returned by bus over the same route. The bus averaged 20 miles per hour, and the entire round trip took 1 hour and 40 minutes, including the 10 minute wait for the bus. How far did the girl walk?

Click here to see answer by jim_thompson5910(28598)

Question 124672: A girl walked from her home into town at the rate of 4 miles per hour. She returned by bus over the same route. The bus averaged 20 miles per hour, and the entire round trip took 1 hour and 40 minutes, including the 10 minute wait for the bus. How far did the girl walk?
Click here to see answer by ankor@dixie-net.com(15660)

Question 124721: (5) Two cars enter the Florida Turnpike at Commercial Boulevard at 8:00 am, each heading for Wildwood. One car’s average speed is 10 miles per hour more than the other’s. The faster car arrives at Wildwood at 11:00 am, ½ hour before the other car. What was the average speed of each car? How far did each travel?
Click here to see answer by checkley71(8403)

Question 124750: Princess Gwendolyn's carriage traveled 30 miles in 6 hours. At the same rate, how far will the princess's carriage travel in 8 hours.
Click here to see answer by checkley71(8403)

Question 124866: suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. You have 12 coins, all quarters and dimes. Let q=quarters and d=dimes. What system would model this given information?
Click here to see answer by solver91311(16897)

Question 124878: I have not idea what they are asking????
The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A square feet S=16Ad^-2/3.
a. Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 feet and a displacement of 23,245 pounds.
b. Solve the formula for d.
Click here to see answer by checkley71(8403)

Question 124782: Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed for each car for the 2-hour trip?
Click here to see answer by ankor@dixie-net.com(15660)

Question 124932: An airplane travels 750 miles against the wind in 7.5 hours, and makes the return trip with the same wind in 3 hours. Find the rate of the wind. (Make sure to answer the question.)((This is exactly how the problem reads.))
Thank you!
Click here to see answer by checkley71(8403)

Question 125116: Smith bicycled 45 miles going east from Dallas, and Jones bicycled 70 miles. Jones avgd 5 miles per hour more than Smith and his trip took one-half hour longer than Smiths. How fast was each one traveling?
Click here to see answer by stanbon(57387)

Question 124875: Smith bicycled 45 miles goin east from Durango and Jones bicycled 70 miles. Jones averaged 5 miles per hou more than Smith, and his trip took on-half hour longer than Smith's. How fast was each one traveling?
Click here to see answer by ankor@dixie-net.com(15660)

Question 125330: If two planes leave the same airport at 1:00, home many miles apart will they be at 3:00 if one travels directly north at 150 MPH and the other travels directly west at 200 MPH
Click here to see answer by josmiceli(9697)

Question 125343: The mileage reading on the odometer of car "A" is 31,250 and on car "B" is 30,990. Martha drives car "A" at 40 miles per hour and Matt drives car "B" at 53 miles per hour. If both people begin driving at 1:00p.m.,at what time will the odometers on the two cars have the same mileage reading?
I tried this problem and i just didnt get it!?!
Thank You For Your Help!!

Click here to see answer by scott8148(6628)

Question 125488: PLEASE HELP!! John drives at an average speed of 50 miles per hour for the first 4 hours of the 608-mile trip to Springfield. Ethel then drives the remaining distance in 8 hours. What is Ethel's average driving speed?
Click here to see answer by solver91311(16897)

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?
Click here to see answer by solver91311(16897)

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