Question 952377

A plane can fly 900 miles in the same time as it takes a car to go 250 miles. If the car travels 130 mph slower than the plane, find the speed of the plane.
<pre>Let speed of plane be S
Then speed of car = S - 130
Time plane takes to travel 900 miles: {{{900/S}}}
Time car takes to travel 250 miles: {{{250/(S - 130)}}}
Since times are equal, we get: {{{900/S = 250/(S - 130)}}}
900(S - 130) = 250(S) -------- Cross-multiplying
900S - 117,000 = 250S
900S – 250S = 117,000
650S = 117,000
S, or speed of plane = {{{117000/650}}}, or {{{highlight_green(180)}}} mph