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

Answer:

The length of entire race is approximately 17.1875 miles.  

Step-by-step 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 = $12\displaystyle\frac{1}{2}\text{ miles}$

Length of running part =

$\displaystyle\frac{1}{4}\times \text{ Length of cycling part}\\\\= \frac{1}{4}\times 12\frac{1}{2} = \frac{1}{4}\times \frac{25}{2}= \frac{25}{8}\text{ miles}$

Length of kayaking part =

$\displaystyle\frac{1}{2}\times \text{ Length of running part}\\\\= \frac{1}{2}\times \frac{25}{8} = \frac{25}{16}\text{ miles}$

Length of entire race =

$\text{Length of cycling part} + \text{Length of running part} + \text{Length of kayaking part} \\\\= \displaystyle\frac{25}{2} + \frac{25}{8} + \frac{25}{16} = \frac{200+50+25}{16} = \frac{275}{16}\text{ miles} = 17\frac{3}{16}\text{ miles}$

The length of entire race is approximately 17.1875 miles.