Solve the problem.
-A twin-engined aircraft can fly 1064 miles from city A to city B in 4 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind?
A) 95 mph
B) 76 mph
C) 57 mph
D) 38 mph

Question

Quizplus · Accepted Answer

Let x be the speed of the plane in still air and y be the speed of the wind.
With the wind, the speed of the plane is (x+y).
Against the wind, the speed of the plane is (x-y).

From the given information,
(x+y) * 4 = 1064  ---> 1
(x-y) * 7 = 1064  ---> 2

Solving equation 1 and 2, we get
x = 336 and y = 57

Therefore, the speed of the wind is 57 mph, which is option C.

Solve the Problem. -A Twin-Engined Aircraft Can Fly 1064 Miles from City a from City