What was the entire distance, in miles, of the race?

Question

In a race that consisted of three parts, the cycling part was 12 1/2 miles long. The running part of the race was 1/4 the distance of the cycling part. The kayaking part of the race was 1/2 the distance of the running part. What was the entire distance, in miles, of the race? Show your work.

Answer 1

Cycling:         12 1/2 = 25/2 miles

Running:(1/4)(25/2) = 25/8 miles

kayaking:(1/2)(25/8)=25/16 miles

 

25/2 + 25/8 + 25/16

= 200/16 + 50/16 + 25/16

= 275/16

= 17 3/16 miles total