Question

Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours. How far up the mountain did karina go?

Answer 1

Answer:

36 miles.

Step-by-step explanation:

We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.

$\text{Distance}=\text{Speed}\times \text{Time}$

Substitute the given values:

$\text{Distance}=(\frac{4\text{ miles}}{\text{Hour}}+\frac{20\text{ miles}}{\text{Hour}})\times 3\text{ Hours}$

$\text{Distance}=(\frac{24\text{ miles}}{\text{Hour}})\times 3\text{ Hours}$

$\text{Distance}=24\text{ miles}\times 3$

$\text{Distance}=72\text{ miles}$

The total distance is 72 miles, so the distance going up would be half of 72.

$\frac{72}{2}=36$

Therefore, Karina went 36 miles up the mountain.