Question

You and a friend start biking in opposite directions from the same point. You travel 180 feet every eight seconds. Your friend travels 63 feet every six seconds. A to the nearest hundredth of a mile, how far apart are you and your friend after 15 minutes?

Answer 1

5.63 miles apart.

Explanation:

We have been given that you and a friend start biking in opposite directions from the same point.

You travel 180 feet every 8 seconds. So distance traveled in one second would be 22.5 feet (180/8). 22.5 feet in one seconds and 1350 (22.5*60) feet in one minute.

We are also told that your friend travels 63 feet every six seconds. So distance traveled by your friend in one minute would be 10 times 63 feet that is 630 feet.

Since both are traveling in opposite directions, so total distance traveled in one minute would be sum of both distances that is
`1350+630=1980` feet per minute.

Distance traveled in 15 minutes would be
`1980\cdot 15=29700` feet.

We know that one mile is equal to 5280 feet.

Let us convert 29,700 feet into miles by dividing by 5280 as:

`\text{Number of miles}=(29,700)/(5280)=5.625\approx 5.63`

Therefore, you and your friend are 5.63 miles apart after 15 minutes.