Question

Tory and Emilio's motorboat travel at the same speed. Tory pilots her boat 50 km before docking. Emilio continues for another 2 hr, Traveling a total 80 km before docking. How long did it take Tory to navigate the 50 km?

Answer 1

1. You have that the speed is:

`V=(d)/(t)`

Where
`d` is the distance and
`t` is the time.

2. Tory pilots her boat
`50 km`before docking, therefore, his time is

`t1=(50km)/(V)`

3. Emilio continues for another
`2 hours`, with a total of
`80 km` before docking. Therefore, his time is:

`t2=((50km)/(2) +2h)`

4. And his speed is:

`V=(80km)/(((50km)/(V)+2h))`

5. Solve for
`V` and substitute the value into the formula of Tory's time:

`\\V=15(km)/(h) \\ t1=(50km)/(15(km)/(h)) t1=3.33h`

The answer is:
`3.33 hours`