Question

Flying against the wind, a jet travels 3040 miles in 4 hours. Flying with the wind, the same jet travels 8260 miles in 7 hours. What is the rate of the jet in still air, and what is the rate of the wind?

Answer 1

Velocity of jet in still air is `970` miles per hour and velocity of wind is `210` miles per hour.

Explanation:

Jet's velocity against wind is `3040/4=760` mile per hour and flying with wind it is `8260/7=1180` miles per hour.

Let the velocity of jet in still air be `x` miles per hour and velocity of wind be `y` miles per hour.

As such its velocity against wind is `x-y` and with wind is `x+y` and therefore

`x-y=760` and `x+y=1180`

Adding the two `2x=1940` and `x=970`

and `y=1180-970=210`

Hence velocity of jet in still air is `970` miles per hour and velocity of wind is `210` miles per hour.