Question 922036
With a wind speed of {{{x}}} miles per hour,
a plane with a cruising speed of 150 miles per hour
travels with the wind at a speed of {{{150+x}}} miles per hour with respect to the ground,
while against the wind it travels at a speed of {{{150-x}}} miles per hour with respect to the ground.

In a period of time of {{{t}}} hours, the plane will flew
{{{t(150+x)=300}}} miles with the wind, and
{{{t(150-x)=200}}} miles against the wind.
So,
{{{t(150+x)/(t(150-x))=300/200}}}--->{{{(150+x)/(150-x)=3/2}}}--->{{{2(150+x)=3(150-x)}}}--->{{{300+2x=450-3x)}}}--->{{{2x+3x=450-300)}}}--->{{{5x=150)}}}--->{{{x=150/5)}}}--->{{{highlight(x=30)}}}
The speed of the wind was 30 miles per hour.