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

Answer:

62.5%

Step-by-step 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

$x\times \frac{160}{100}=1.6x$

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

$\%=\frac{\text{Ana’s running distance}}{\text{Peter’s running distance}}\times 100$

$\%=\frac{x}{1.6x}\times 100$

$\%=\frac{1}{1.6}\times 100$

$\%=62.5$

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