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:

$V=\frac{d}{t}$

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

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

$t1=\frac{50km}{V}$

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

$t2=(\frac{50km}{2} +2h)$

4. And his speed is:

$V=\frac{80km}{(\frac{50km}{V}+2h)}$

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

$\\V=15\frac{km}{h} \\ t1=\frac{50km}{15\frac{km}{h}} t1=3.33h$

The answer is: $3.33 hours$