Question

A jet travels 3624 mi against the wind in 6 hours and 4764 with the wind in the same amount of time. what is the rate of the jet in still air and what is the rate of the wind?

Answer 1

Here we can say that net speed against the wind is given by

`V_(plane) - v_(wind) = (distance)/(time)`

`V_(plane) - v_(wind) = (3624)/(6)`

`V_(plane) - v_(wind) = 604 mph`

also if it is moving along the direction of wind we will have

`V_(plane) + v_(wind) = (distance)/(time)`

`V_(plane) + v_(wind) = (4764)/(6)`

`V_(plane) + v_(wind) = 794 mph`

now add the above two equations we will have

`V_(plane) = 699 mph`

also we can say

`v_(wind) = 95 mph`