Question

Peter ran 160% as far as Ana. How far did Ana run as a percentage of Peter’s running distance? Solve this problem with the aid of a math drawing, a percent table, or both. Explain your reasoning.

Answer 1

62.5%

Explanation:

It is given that Peter ran 160% as far as Ana.

Let x be the distance covered by Ana.

So, the distance covered by Peter is

`x* (160)/(100)=1.6x`

We need to find how far did Ana run as a percentage of Peter’s running distance.

`\%=\frac{\text{Ana’s running distance}}{\text{Peter’s running distance}}* 100`

`\%=(x)/(1.6x)* 100`

`\%=(1)/(1.6)* 100`

`\%=62.5`

Therefore, the Ana run as a percentage of Peter’s running distance is 62.5%.