Question

Every time Cody runs, he runs of a 3/6 of a mile. Whenever Arianna runs, she runs 4/6 of a mile. If Cody runs 4times a week, how many times must Arianna run to cover the same distance as Cody

Answer 1

First, we are going to calculate the total distance that Cody runs in a week as:

$\frac{3}{6}\cdot4=\frac{3\cdot4}{6}=\frac{12}{6}=2$

Because he runs 4 times a week and every time runs 3/6 of a mile.

It means that he runs 2 miles a week

Now, we need to calculate how many times Arianna runs to cover 2 miles.

So, we need to divide 2 by 4/6 of a mile as:

$\frac{2}{\frac{4}{6}}=\frac{\frac{2}{1}}{\frac{4}{6}}=\frac{2\cdot6}{1\cdot4}=\frac{12}{4}=3$

Therefore, she needs to run 3 times a week to cover 2 miles.

Answer: 3 times