Question

After Paul hiked 5/6 of a mile, he was 2/3 of the way along the trail. How long is the trail?

Answer 1

Answer:

1.25 miles.

Step-by-step explanation:

Let x be the length of trail. We have been given that after Paul hiked $\frac{5}{6}$ of a mile, he was $\frac{5}{6}$ of the way along the trail.  

Let need to find x such that $\frac{2}{3}$ of x equals $\frac{5}{6}$.  

$\frac{2}{3} x=\frac{5}{6}$

$x=\frac{5}{6}\times \frac{3}{2}$

$x=\frac{5}{2}\times\frac{1}{2}$  

$x=\frac{5}{2\times 2}$

$x=\frac{5}{4}$  

$x=1\frac{1}{4}=1.25$  

Therefore, the trail is 1.25 miles long.