In a race that consisted of three parts the cycling part was 12 1/2 miles long the running part of the race was won for the distance of the cycling parking asking part of the race was won half the distance of the running part what was the entire distance in miles of the raie

Question

Mathematics

Jax Warner

30 June, 01:44

In a race that consisted of three parts the cycling part was 12 1/2 miles long the running part of the race was won for the distance of the cycling parking asking part of the race was won half the distance of the running part what was the entire distance in miles of the raie

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Magdalena · Answer 1

Complete question is;

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?

Answer:

Total distance of race = 17.1875 miles

Step-by-step explanation:

The 3 parts of the race are; cycling, running and kayaking.

The cycling distance was; 12½ miles

We are told that the running part was ¼ of the cycling distance. Thus;

Running distance = ¼ x 12½ = ¼ x 25/2 = 25/8 miles

Lastly, we are told that the kayaking part was ½ the distance of the running part. Thus;

Kayaking distance = ½ x 25/8 = 25/16

Thus, total distance of race = cycling distance + running distance + kayaking distance = 12½ + 25/8 + 25/16 = 17.1875 miles