Distance, Rate, And Time Word Problems Worksheet With Answers (Page 3 of 5) in pdf

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19. Two men are traveling in opposite directions at the rate of 20 and 30 miles an

hour at the same time and from the same place. In how many hours will they

be 300 miles apart?

20. Running at an average rate of 8 m/s, a sprinter ran to the end of a track and

then jogged back to the starting point at an average rate of 3 m/s. The

sprinter took 55 s to run to the end of the track and jog back. Find the

length of the track.

21. A motorboat leaves a harbor and travels at an average speed of 18 mph to an

island. The average speed on the return trip was 12 mph. How far was the

island from the harbor if the total trip took 5 h?

22. A motorboat leaves a harbor and travels at an average speed of 9 mph toward

a small island. Two hours later a cabin cruiser leaves the same harbor and

travels at an average speed of 18 mph toward the same island. In how many

hours after the cabin cruiser leaves will the cabin cruiser be alongside the

motorboat?

23. A jet plane traveling at 570 mph overtakes a propeller-driven plane that has

had a 2 h head start. The propeller-driven plane is traveling at 190 mph.

How far from the starting point does the jet overtake the propeller-driven

plane?

24. Two trains start at the same time from the same place and travel in opposite

directions. If the rate of one is 6 miles per hour more than the rate of the

other and they are 168 miles apart at the end of 4 hours, what is the rate of

each?

25. As part of ﬂight traning, a student pilot was required to ﬂy to an airport and

then return. The average speed on the way to the airport was 100 mph, and

the average speed returning was 150 mph. Find the distance between the two

airports if the total ﬂight time was 5 h.

26. Two cyclists start from the same point and ride in opposite directions. One

cyclist rides twice as fast as the other. In three hours they are 72 miles apart.

Find the rate of each cyclist.

27. A car traveling at 56 mph overtakes a cyclist who, riding at 14 mph, has had

a 3 h head start. How far from the starting point does the car overtake the

cyclist?

28. Two small planes start from the same point and ﬂy in opposite directions.

The ﬁrst plan is ﬂying 25 mph slower than the second plane. In two hours

the planes are 430 miles apart. Find the rate of each plane.

Source:

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Distance, Rate, And Time Word Problems Worksheet With Answers Page 3