Question

A plane averaged 500 mph on a trip going east, but only 200 mph on the return trip. The total flying time in both directions was 10.5 hr. What was the one way distance

Answer 1

Let's assume time taken by plane on one way distance as 't'

The total flying time in both directions was 10.5 hr

so, time taken in other direction =10.5-t

now, we are given

A plane averaged 500 mph on a trip going east

so, total distance of one way is

`=500t`

total distance of other way is

`=200(10.5-t)`

now, we can that distance is same from both sides

so, we get

`500t=200(10.5-t)`

now, we can solve for t

`500t=2100-200t`

`700t=2100`

`t=3`

now, we can find one way distance

`=500* 3`

`=1500`miles..............Answer