Answer:
Explanation:
Let x represent the average speed of flight 725.
Flight 725 left New York at 10:28 a.m. flying north.
Flight 245 left from the same airport at 11:18 a.m. flying south at one hundred twenty kph less than three times the speed of flight 725. This means that the speed of flight 245 is
3x - 120
At 1:06 p.m. they are 1,030 kilometers apart. This means that total distance travelled by both planes would be 1030
Between 10:28am and 1:06pm, the number of hours would be 2hr 38 minutes = 2 + 38/60 = 2.63 hours
Distance = speed × time
Total distance travelled by flight 725 = x × 2.63 = 2.63x
Between 11:18am and 1:06pm, the number of hours would be 1hr 48 minutes = 1 + 48/60 = 1.8 hours
Distance = speed × time
Total distance travelled by flight 245 = x × 1.8 = 1.8(3x - 120)
5.4x - 216 + 2.63x = 1030
8.03x = 1030 + 216 = 1246
x = 1246/8.03 = 155 kph