Question

Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He wants to know how many minutes (m)(m)left parenthesis, m, right parenthesis it will take him to run 52 \text{ km}52 km52, start text, space, k, m, end text at the same pace.

How long will it take Scott to run 52 \text{ km}52 km52, start text, space, k, m, end text?

Answer 1

Given:

Scott can run 20 km in 85 minutes.

To find:

How long will it take Scott to run 52 km?

Solution:

Let x be the number of minutes it will take him to run 52 km.

We know that,

`Speed=(Distance)/(Time)`

Using this formula, we get

`Speed=(20)/(85)` ...(i)

`Speed=(52)/(x)` ...(ii)

Equating (i) and (ii), we get

`(20)/(85)=(52)/(x)`

`20* x=52* 85`

`20x=4420`

Divide both sides by 20.

`x=(4420)/(20)`

`x=221`

Therefore, it will take 221 minutes to run 52 km.