A twin-engine plane flies 1000 mi in the same amount of time it takes a single-engine plane to fly 750 mi.

Question

A twin-engine plane flies 1000 mi in the same amount of time it takes a single-engine plane to fly 750 mi. The rate of the twin-engine plane is 50 mph faster than the rate of the single-engine plane. Find the rate of the twin-engine plane.

Answer 1

Assuming that by 'rate', you mean 'speed':

 

Let x be the speed of the single-engine plane. Then the speed of the twin-engine plane is x+50. Let t me the time both planes flew.

 

xt = 750 -> t = 750/x

(x+50)t = 1000 -> 750(x+50)/x = 1000 -> 750x+37500 = 1000x -> 37500 = 250x -> 150 = x

 

Since x is 150, x+50 is 200.