Question

A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6

hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.

Answer 1

Explanation:

p and s was are the speeds of the plane and wind, respectively.

Traveling with the wind, the plane moves p+w miles per hour.

p+w = (1092 miles)/(6 hours) = (182 miles)/hour

Traveling against the wind, the plane moves p-w miles per hour.

p-w = (1092 miles)/(7 hours) = (156 miles)/hour

Add the equations together

p+w = 182

p-w = 156

—————-

2p = 338

p = 169 miles per hour

w = p-156 = 13 miles per hour