On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, a rate of 5 miles an hour. If it takes him 40 minutes longer to climb up than run down, what is the total length of Ted's hike?

Answer 1

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

He hiked 10 miles.