Question

On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation.

Answer 1

He hiked 10 miles.

Explanation:

rate x time = distance

The distance up and the distance down are equal

3 mi/1 hr x (h hours + 2/3 hr) = 5 mi/1 hr x h hours

3h + 2 = 5h

2 = 2h

h = 1 hour

3mi/hr x 1 2/3 hr = 5 miles

5 mi/hr x 1 hr = 5 miles