Question

A certain aircraft can fly 612 miles with the wind in 3 hours and travel the same distance against the wind in 6 hours. What is the speed of the wind?

Answer 1

51 mph

Step-by-step explanation:

Given: A certain aircraft can fly 612 miles with the wind in 3 hours and travel the same distance against the wind in 6 hours.

Formula:
`Speed=(Distance)/(Time)`

Let speed of aircraft be x mph and speed of wind y mph

Aircraft along wind:

Actual speed of aircraft = x + y

Time taken = 3 hours

Distance = 612 miles

`\therefore x+y=(612)/(3)`

`x+y=204----------(1)`

Aircraft against wind:

Actual speed of aircraft = x - y

Time taken = 6 hours

Distance = 612 miles

`\therefore x-y=(612)/(6)`

`x-y=102----------(2)`

By solving equation (1) and equation (2) and we get

x = 153 mph

y = 51 mph

Hence, The speed of wind will be 51 mph