Answer:
Speed of the slower plane = 320 mph
Speed of the faster plane = 450 mph
Step-by-step explanation:
Let the speed of the slower plane = x mph
And the speed of the faster plane = y mph
Difference in their speeds = 130 mph
y - x = 130 --------(1)
Formula for the distance traveled = Speed × time
Distance traveled by the faster plane in 5 hours = 5y miles
Distance traveled by the slower plane in 5 hours = 5x miles
Total distance traveled by both the planes in 5 hours = 5(x + y) miles
5(x + y) = 3850
x + y = 770 ---------(2)
By adding equations (1) and (2)
2y = 900
y = 450 mph
From equation (2)
x = 770 - 450
x = 320 mph
