Distance, Rate, And Time Word Problems Worksheet With Answers (Page 2 of 5) in pdf

8. A man walks at the rate of 4 miles per hour. How far can he walk into the

country and ride back on a trolley that travels at the rate of 20 miles per hour,

if he must be back home 3 hours from the time he started?

9. A boy rides away from home in an automobile at the rate of 28 miles an hour

and walks back at the rate of 4 miles an hour. The round trip requires 2 hours.

How far does he ride?

10. A motorboat leaves a harbor and travels at an average speed of 15 mph

toward an island. The average speed on the return trip was 10 mph. How far

was the island from the harbor if the total trip took 5 hours?

11. A family drove to a resort at an average speed of 30 mph and later returned

over the same road at an average speed of 50 mph. Find the distance to the

resort if the total driving time was 8 hours.

12. As part of his ﬂight trainging, a student pilot was required to ﬂy to an airport

and then return. The average speed to the airport was 90 mph, and the

average speed returning was 120 mph. Find the distance between the two

airports if the total ﬂying time was 7 hours.

13. A, who travels 4 miles an hour starts from a certain place 2 hours in advance

of B, who travels 5 miles an hour in the same direction. How many hours

must B travel to overtake A?

14. A man travels 5 miles an hour. After traveling for 6 hours another man starts

at the same place, following at the rate of 8 miles an hour. When will the

second man overtake the ﬁrst?

15. A motorboat leaves a harbor and travels at an average speed of 8 mph toward

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

travels at an average speed of 16 mph toward the same island. In how many

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

motorboat?

16. A long distance runner started on a course running at an average speed of 6

mph. One hour later, a second runner began the same course at an average

speed of 8 mph. How long after the second runner started will the second

runner overtake the ﬁrst runner?

17. A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, has had

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

the cyclist?

18. A jet plane traveling at 600 mph overtakes a propeller-driven plane which has

had a 2 hour head start. The propeller-driven plane is traveling at 200 mph.

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

Source:

Saylour Course:

Distance, Rate, And Time Word Problems Worksheet With Answers Page 2