Question

Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What is the rate of the jet in still air and what rate of the wind?

Answer 1

Answer:

The velocity of jet in still air is  $860miles/hour$ and velocity of wind is   $140miles/hour$.

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind $=\frac{2160}{3} = 720 miles/hour$

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind $=\frac{6000}{6} = 1000 miles/hour$

As such its velocity against wind is  $x-y$

and with wind is   $x+y$ therefore

$x-y=720$------------(1)

$x+y=1000$---------------(2)

Adding equation 1 and 2.

$2x=1720$

$x=\frac{1720}{2}$

$x=860$

Put x value in equation 2

$860+y=1000$

$y=1000-860$

$y=140$

Hence velocity of jet in still air is  $860miles/hour$ and velocity of wind is   $140miles/hour$.