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15.

After a sailboat had been on the water for 3 h, a change in wind direction reduced

the average speed of the boat by 5 mph. The entire distance sailed was 51 mi. The

total time spent sailing was 6 h. How far did the sailboat travel in the first 3 h?

16.

A bus traveled on a level road for 2 h at an average speed that was 20 mph faster

than its average speed on a winding road. The time spent on the winding road was

3 h. Find the average speed on the winding road if the total trip was 210 mi.

17.

A passenger train leaves a train depot 1 h after a freight train leaves the same

depot. The freight train is traveling 15 mph slower than the passenger train. Find

the rate of each train if the passenger train overtakes the freight train in 3 h.

18.

An executive drove from home at an average speed of 40 mph to an airport where a

helicopter was waiting. The executive boarded the helicopter and flew to the

corporate offices at an average speed of 60 mph. The entire distance was 150 mi.

The entire trip took 3 h. Find the distance from the airport to the corporate offices.

19.

A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45 mph. If

the car had a 1 h head start, how far from the starting point does the bus overtake

the car?

20.

A car and a cyclist start at 10 A.M. from the same point, headed in the same

direction. The average speed of the car is 5 mph more than three times the average

speed of the cyclist. In 1.5 h, the car is 46.5 mi ahead of the cyclist. Find the rate of

the cyclist .

21.

A cyclist and a jogger set oat at 11 A.M. from the same point, headed in the same

direction. The average speed of the cyclist is twice the average speed of the jogger.

In 1 h, the cyclist is 7 mi ahead of the jogger. Find the rate of the cyclist.

22.

A car and a bus set out at 2 P.M. from the same point, headed in the same direction.

The average speed of the car is 30 mph slower than twice the average speed of the

bus. In 2 h, the car is 30 mi ahead of the bus. Find the rate of the car.

23.

Two joggers start at the same time from opposite ends of a 12 mi course. One

jogger is running at a rate of 5 mph, and the other is running at a rate of 7 mph.

How long after they begin will they meet?

24.

Two cyclists start at the same time from opposite ends of a course that is 51 mi long.

One cyclist is riding at a rate of 16 mph, and the second cyclist is riding at a rate of

18 mph. How long after they begin will they meet?

25.

At 10 A.M., two campers left their campsite by canoe and paddled downstream at an

average speed of 12 mph. They then turned around and paddled back upstream at

an average rate of 4 mph. The total trip took 1 h. At what time did the campers turn

around downstream?

6

Distance, Rate, Time

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Parent category: Education