Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 349610: A car traveled 120 miles at a certain avarage rate. By increasing its avarage rate by 10mph, it traveled 160 miles in the same time it traveled the 120-mile trip. Find its average rate on the first trip. Show your work.
Click here to see answer by Fombitz(32388)  |
Question 349632: Allison and Rachel are taking a trip together. They decide to share the driving responsibilities for the 480 mile drive. Allison drove at an average rate of 50 mph and Rachel drove at an average rate of 40 mph. If Allison drover 45 minutes more than Rachel, then how far did Rachel drive?
Click here to see answer by josmiceli(19441)  |
Question 349630: Robert has a jet ski that will travel at the rate of 35 mph in still water. He can go 50 mph up a river in the same amount of time it takes im to go 75 mph down the river. How fast can Robert travel going down the river?
Click here to see answer by ewatrrr(24785)  |
Question 349757: A boater travels 16 miles per hour on the water on a still day. During one particular windy day, he finds that he travels 48 miles with the wind behind him in the same amount of time that he travels 16 miles into the wind. find the rate of wind.
Click here to see answer by checkley77(12844) |
Question 349731: Two railroad workers were working together in a 1.2 Km mountain tunnel when a signal light flashed indicating the approach of a train, which was traveling at 60 Km/hr. Walking east, one worker reached the east end of the tunnel in 6 minutes, as the train entered the tunnle. The other worker reached the west end of the tunnel in 6 minutes and was passed by the train .24 Km beyond the west end of the tunnel. At what rate did each worker walk?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 349890: a pot contains 6 liters at a concentration of 120 grams per liter. how much of the water should be boiled off to increase the concentration to 200 grams per liter? i found x to equal 3.6 liters left over but i don't know what to do after that.
Click here to see answer by Alan3354(69443)  |
Question 350028: The speed of the freight train is 23 mph slower than that of a passenger train. The freight train travels 250 miles in the same time it takes the passenger train to travel 450 miles. Find the speed of the passenger train.
Click here to see answer by mananth(16946)  |
Question 350071: A train leaves Perryville at 6:00 AM and travels east at a rate of 64 mph. As it reaches its destination, Granite City, a westbound train departs from Granite City for Perryville, traveling at a rate of 48 mph. How far is it from Perryville to Granite City by train if the westbound train gets to Perryville at 9:30 AM?
I tried making a chart and I know that one has to complete its trip before the other begins thus making two entire trips. Train 1 travels at 64 mph and Train 2 travels at 48 mph and they both complete the distance in 210 minutes. Distance=Rate*Time so the problem is essentially two problems with their answers added together (correct?) but the issue is what to use in the time box of my chart. Distance is blank and is RT with RT containing a variable. How do I find out what goes in the time box? how do I find the distance traveled by both trains and the time it took each train to complete the trip?
Thanks so much!!! :)
Click here to see answer by mananth(16946)  |
Question 350283: Kesha drove from Buffalo to Syracuse at an average rate of 48 miles per hour. On the return trip along the same road she was able to travel at an average rate of 60 miles per hour. The trip from Buffalo to Syracuse took one-half hour longer than the return trip. How long did the return trip take?
Click here to see answer by stanbon(75887) |
Question 350435: Emily leaves home at 2:00 traveling 30 miles per hour. Sarah leaves 20 mins. later traveling at 36 miles per hour. At what time will they meet up.
I think it has something to do with t=r/d but the question does not give distance. I also tried at table 30t+36(t+20)= ____ but I don't know what to put in the blank. Please help me. Thank you for you time.
Click here to see answer by scott8148(6628)  |
Question 350497: First off, thanks for volunteering your time and expertise to help students; you are so valuable to us!
Two brothers , Bob and Charlie , live 450 miles apart. Starting at the same time they plan to drive until they meet. Bob averages 10 mph faster than Charlie who averages 50 mph. How long will it take them to meet?
Let t = time (in hours)
60(t) + 50(t) = 450
t = 4.09 hours
I have a very bad history with converting a word problem into a math problem, so I am not too confident in my solution.
Click here to see answer by stanbon(75887) |
Question 350519: A man commutes to work a distance 35 miles and returns on the same route at the end of the day. His average rate on the return trip is 20 miles per hour faster than his average rate on the outgoing trip. write the total time, T, in hours, devoted to his out going and return trips as a function of his rate on the outgoing trip, x. Then find an interpret T(25)
Click here to see answer by ankor@dixie-net.com(22740)  |
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