Question

Flying against the wind, an airplane travels 5760 kilometers in 6 hours. Flying with the wind, the same plane travels 6300 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer 1

Speed of plane = 1110 kmph

Speed of wind = 150 kmph

Explanation:

Let the speed of plane be p and speed of wind be w.

Flying against the wind, an airplane travels 5760 kilometers in 6 hours.

Here

Speed = (p-w) kmph

Time = 6 hours

Distance = 5760 kmph

Distance = Speed x Time

5760 = (p-w) x 6

p-w = 960 -----eqn 1

Flying with the wind, the same plane travels 6300 kilometers in 5 hours.

Here

Speed = (p+w) kmph

Time = 5 hours

Distance = 6300 kmph

Distance = Speed x Time

6300 = (p+w) x 5

p+w = 1260 -----eqn 2

eqn 1 + eqn 2

p-w + p +w = 960 + 1260

2p = 2220

p = 1110 kmph

Substituting in eqn 2

1110 + w = 1260

w = 150 kmph

Speed of plane = 1110 kmph

Speed of wind = 150 kmph