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,

$Speed=\dfrac{Distance}{Time}$

Using this formula, we get

$Speed=\dfrac{20}{85}$           ...(i)

$Speed=\dfrac{52}{x}$             ...(ii)

Equating (i) and (ii), we get

$\dfrac{20}{85}=\dfrac{52}{x}$

$20\times x=52\times 85$

$20x=4420$

Divide both sides by 20.

$x=\dfrac{4420}{20}$

$x=221$

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