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

36 miles.

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}* \text{Time}`

Substitute the given values:

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

`\text{Distance}=(\frac{24\text{ miles}}{\text{Hour}})* 3\text{ Hours}`

`\text{Distance}=24\text{ miles}* 3`

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

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

`(72)/(2)=36`

Therefore, Karina went 36 miles up the mountain.