Question

Flying against the jetstream, a jet travels 6060 mi in 6 hours. Flying with the jetstream, the same jet travels 10,640 mi in 8 hours. What is the rate of the jet in still air and what is the rate of the jetstream?

Answer 1

Answer:

Speed of the jet is U = 1170 miles/hr

Speed of the jet stream is V = 160 miles/hr

Explanation:

Let

The speed of the jet = U

The speed of the jet stream = V

Flying speed with the jet stream = U+V

Flying speed against the jet stream = U-V

Now we know that speed = distance / time

Now flying speed with jet stream, U+V = 10640 / 8

                                                                 = 1330 miles/hr   ------(1)

        flying speed against the jet stream, U-V = 6060 / 6

                                                                             = 1010 miles/hr  -----(2)

Therefore, speed of the jet stream,

subtract (2) from (1), we get

( U+V ) - ( U-V ) = 1330-1010

2V = 320

V = 160 miles/hr

Therefore the speed of the jet stream is V = 160 miles/hr

Now from (1), we know

U+V = 1330

U + 160 =1330

U = 1170 miles/hr

Therefore, speed of the jet is U = 1170 miles/hr