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 distamce pf the cycling part. The kayaking part of the race was 1/2 the distance of the running part. What was thwe entire distance, in miles of the race?

Answer 1

The length of entire race is approximately 17.1875 miles.

Explanation:

We are given the following information in the question:

A race that consisted of three parts, cycling, running and kayaking.

Length of cycling part =
`12\displaystyle(1)/(2)\text{ miles}`

Length of running part =

`\displaystyle(1)/(4)* \text{ Length of cycling part}\\\\= (1)/(4)* 12(1)/(2) = (1)/(4)* (25)/(2)= (25)/(8)\text{ miles}`

Length of kayaking part =

`\displaystyle(1)/(2)* \text{ Length of running part}\\\\= (1)/(2)* (25)/(8) = (25)/(16)\text{ miles}`

Length of entire race =

`\text{Length of cycling part} + \text{Length of running part} + \text{Length of kayaking part} \\\\= \displaystyle(25)/(2) + (25)/(8) + (25)/(16) = (200+50+25)/(16) = (275)/(16)\text{ miles} = 17(3)/(16)\text{ miles}`

The length of entire race is approximately 17.1875 miles.