Two rental airplanes fly a total of 53 h in one month. One plane rents for $50/h and the other rents for $60/h. The total income of the two planes was $2,900. Find the number of hours each plane flew for the month.
A) The first plane flew 29.5 h,
The second plane flew 23.5 h.
B) The first plane flew 25 h,
The second plane flew 28 h.
C) The first plane flew 31 h,
The second plane flew 22 h.
D) The first plane flew 28 h,
The second plane flew 25 h.
E) The first plane flew 29 h,
The second plane flew 24 h.

Question

Quizplus · Accepted Answer

Let x be the number of hours the first plane flew and y be the number of hours the second plane flew. Then we have the system of equations:

x + y = 53   (total hours flown)
50x + 60y = 2900  (total income earned)

Solving for x and y gives x = 28 and y = 25. Therefore, the first plane flew for 28 hours and the second plane flew for 25 hours. Thus, the answer is D.

Two Rental Airplanes Fly a Total of 53 H in One