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?

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Answer 1 · 2018-06-16T04:15:24

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

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.