Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 309461: a person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. if the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-forth greater, the person would have traveled only 1315 miles in the same length of time. find the speeds of both the plane and the ship.
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 309693: An 18-year-old runner can complete a 10.0-km course with an average speed of 4.63 m/s. A 50-year-old runner can cover the same distance with an average speed of 3.82 m/s. How much later (in seconds) should the younger runner start in order to finish the course at the same time as the older runner?
Click here to see answer by mananth(12270)  |
Question 309715: A $3.00 toll is charged to cross the bridge from Sanibel Island to mainland Florida. A six-month pass, costing $15.00, reduces the toll to $.50. A one year pass costing $150, allows for free crossing. How many crossings per year does it take, on average, for the two six-month passes to be the most economical choice? Assume a constant number of trips per month. Show work and explain. Thanks
Click here to see answer by stanbon(57387) |
Question 309712: A train leaves watsonville at noon traveling north at 44 mph. One hour later, another train, going 52mph, travels north on a parallel track. How many hours will the second train travel before it overtakes the first train?Show work please.
Click here to see answer by mananth(12270)  |
Question 309713: Musclebound movers charge $85 plus $40 an hour to move households across town. Champion moving charges $60 an hour for cross-town moves. For what lengths of time is champion more expensive?Please show work.Thanks
Click here to see answer by stanbon(57387) |
Question 309711: Deep thought granola is 25% nuts and dries fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of deep thought and how uch of oat dream should be mixed to form a 20-lb batch of granola that is 19%nuts and dried fruit? Please show work.Thanks
Click here to see answer by alicealc(281) |
Question 309711: Deep thought granola is 25% nuts and dries fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of deep thought and how uch of oat dream should be mixed to form a 20-lb batch of granola that is 19%nuts and dried fruit? Please show work.Thanks
Click here to see answer by stanbon(57387) |
Question 309887: a passenger train and a freight train start at the same time from station that are 405 miles apart and travel toward each other. the rate of the passenger train is twice the rate of the freight train. in 3 hrs, the trains will pass each other, find the rate of each.
formulate chart, equation, and solve
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 309870: Two small planes start from the same point and fly in opposite directions. The first plane is flying
25 miles per hour slower than the second plane. In 2 hours, the planes are 470 miles apart. Find the rate of each plane
Click here to see answer by josmiceli(9697)  |
Question 309977: Rachel drives at a rate of 40 miles per hour for 3 hours on a country road and then drives for 2 hours at a rate of 55 miles per hour on a highway. What was her average speed, in miles per hour, for the entire trip?
(A)45 (B) 46 (C) 47.5 (D) 50 (E) 51
Click here to see answer by mananth(12270)  |
Question 310064: I have difficulty translating word problems into equations.
Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
Jill is 11 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2.5 km/h. They meet in 2 hours. How fast is Joe walking?
Please show me how you determine the equation and how you solve for the answer.
Click here to see answer by richwmiller(9143)  |
Question 310001: Jermaine took a bus trip to visit his grandmother. His round trip travel time was 2 1/2 hours If the bus averaged 45 miles per hour going to his grandmother’s house and 30 miles per hour on the return trip, how many miles from his grandmother’s house does Jermaine live?
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 310078: Two cars are travelling in the same direction; one car is going at 30mph and the other is going at 50mph? If the first car is 10 miles ahead of the second car, how long will it take the second car to catch up with the first?
Click here to see answer by Alan3354(30993)  |
Question 310103: Mildred left camp 4 hours after margret did. they travelled in oposite directions. mildred drove at 30 Miles an hour, margeret at 45 miles an hour. how many hours after mildred left are the two girls 630 miles apart?
Click here to see answer by rfer(12670) |
Question 310306: translate the problem into a pair of linear equations in two variables. solve the equations using either elimination or substitution.
Chuck and Dana agree to meet in chicago for the weekend. Chuck travels 114 miles in the same time that Dana travels 96 miles. If Chuck's rate of travel is 6 mph more than Dana's, then at what rate does chuck travel?
Click here to see answer by stanbon(57387) |
Question 310328: 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?
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 310506: Transport a and transport b left the loading dock at noon and headed in opposite directions. If transport a traveled at 60mph and transport b traveled at 68mph, how many hours was it before they were 348 miles apart?
I need an equation for this kind of problem. Thank you so much!
Click here to see answer by mananth(12270)  |
Question 310686: Two trains leave a station at the same time and are travelling in opposite directions. One is travelling at a rate of 35 km/h and the other is travelling at a rate of 65 km/h. In how many hours will the trains be 350 km apart?
Click here to see answer by loni1234(7) |
Question 310693: A passenger train leaves Norfolk, Virginia, 1.2 hours after a freight train leaves. The passenger train is traveling 18 mph faster than the freight train on a parallel set of tracks. The trains are traveling IN THE SAME DIRECTION. The two trains will be at the same location 3 hours after the passenger train leaves. Find the speed of each train.
Click here to see answer by Fombitz(13828)  |
Question 310694: Two trains leave a station at the same time and are travelling in opposite directions. One is travelling at a rate of 35 km/h and the other is travelling at a rate of 65 km/h. In how many hours will the trains be 350 km apart?
Click here to see answer by texttutoring(324)  |
Question 310696: A jetliner flew from Chicago to Los Angeles at an average speed of 500 miles per hour. Then it continued on over the Pacific Ocean to Hawaii at an average speed of 550 miles per hour. If the entire trip covered 5200 miles and the part over the ocean took twice as long as the part over land, how long did the entire trip take (in hours)?
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 310793: Larry and Cartman live 800 miles apart. They are driving toward each other to meet on the road, keeping cell phone communication as they go. They both left their homes at 8:00 A.M. If Larry is driving an average of 60 mph and Cartman is driving an average of 65 mph, how many hours will it take to meet each other?
Click here to see answer by checkley77(12569) |
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