Question

Josie is training for a race. The ratio of the number of minutes she runs to the number of miles she runs is 24 to 3. She plans to run 10 miles. How many minutes will it take her?

Answer 1

Answer:

80 minutes is required by Josie to cover 10 miles.

Step-by-step explanation:

Let 'x' minutes needed to run 10 miles.

Given:

Ratio of minutes taken to miles covered is 24 to 3.

Number of miles covered is 10 miles.

As per question:

24 minutes is required to cover 3 miles.

So, 'x' minutes is required to cover 10 miles.

Setting up a proportion and applying cross multiplying method, we get:

$\dfrac{x}{10}=\dfrac{24}{3}\\\\x\times 3=24\times 10\\\\3x=240\\\\x=\frac{240}{3}\\\\x=80\ minutes$

Therefore, 80 minutes is required by Josie to cover 10 miles.

Answer 2

Answer:

80

Step-by-step explanation:

The ratio can be simplified and rewritten:

minutes : miles = 24 : 3 = 8 : 1 = 80 : 10

It will take Josie 80 minutes to run 10 miles at her 8 minutes/mile pace.