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

$=500\times 3$

$=1500$miles..............Answer