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?

1 Answer
Jun 16, 2018

Answer:

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.