Question 1155794

A pilot can travel 
363 miles with the wind in the same amount of time as 
297 miles against the wind. Find the speed of the wind if the​ pilot's speed in still air is 
190 miles per hour.
<pre>Let the wind-speed be W
Then we get the following TIME equation: {{{matrix(1,3, 363/(190 + W), "=", 297/(190 - W))}}}
{{{matrix(1,7, 33(11)/(190 + W), "=", 33(9)/(190 - W), "______", 11/(190 + W), "=", 9/(190 - W)))}}} -------- Reducing the fractions by factoring out numerator, GCF, 33
11(190 - W) = 9(190 + W) ------ Cross-multiplying
11(190) - 11W = 9(190) + 9W
11(190) - 9(190) = 9W + 11W
2(190) = 20W
{{{highlight_green(matrix(1,6, 2(190)/20, "=", W, "=", 19, mph))}}}