Question

against the wind a small plane flew 280 miles in 1 hour and 10 minutes. the return trip took only 50 minutes. What was the speed of the wind? what was the speed of the plane in still air?

Answer 1

1) 1hour 10minutes =
`(7)/(6)` hours,
50 minutes =
`(5)/(6)` hours

2) speed of plane against the wind =
`(280miles)/( (7)/(6) ) = (280*6)/(7)=240miles /hours`

3) speed of plane on the the wind =
`(280miles)/( (5)/(6) ) = (280miles*6)/(5)=336miles/hours`

4) (336-240):2=48miles/hours - speed of wind
5)336-48=288miles/hours - plane's speed in still air

Answer: speed of wind is 48 miles/hours, speed of plane in still air is 288 miles/hours