Rate of Jet in Still Air and Rate of Jetstream

Question

Flying against the jet stream, a jet travels 2600 miles in 4 hours. Flying with the jet stream, the same jet travels 6650 miles in 7 hours. What is the rate of the jet in still air and what is the rate of the jet stream?

I got the jet flying AGAINST the jet stream at 650 mph and the jet flying WITH the jet stream at 950 mph. I do get how to figure out mph. I don't get how to come up with the equations to figure everything else out. Please help!

Thank you!

Chris

Answer 1

Hey Chris,

 

You have to break down the rate into it's component pieces:  Jet and Jetstream

 

2,600 = (Jet Rate - Jetstream Rate) * 4

6,650 = (Jet Rate + Jetstream Rate) *7

 

650 = Jet Rate - Jetstream Rate

950 = Jet Rate + Jetstream Rate

 

By adding equations we get:  

 

1,600 = 2 *(Jet Rate)

Jet Rate = 800 mph

 

Then by plugging back in we get:

 

650 = 800 - Jetstream Rate

Jetstream Rate = 150 mph

 

 

J.T.