Question

The record for the Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 seconds.

a. The Boston Marathon is 26.2 miles long. What was the average speed of the record winner of the wheelchair division? Round to the nearest hundredth.

b. At this rate, about how long would it take this competitor to complete a 30-mile race?

Answer 1

A) The average speed about was 20.04 mph.

B) 1 hr 29 min 49.2 s

Explanation:

1 hr, 18 minutes, 27 seconds is

(1 + 18 ÷ 60 + 27 ÷ 3,600) hr or 1.3075 hr. Write the time in hours.

26.2 miles in 1.3075 hours = 26.2miles

1.3075hr

Write the rate as a fraction.

=

26.2 ÷ 1.3075

1.3075 ÷ 1.3075

=

20.04

1

Simplify.

b. At this rate, about how long would it take this competitor to complete a

30-mile race?

Divide the distance by the average speed to find the time.

30 miles

20.04 mph

≈ 1.497 hours

= 1 hr 29.82 min

=

So, it would take about 1 hr 29 min 49 s

hope this helps