Question

A jet travels 2875 miles against a jetstream in 5 hours and 3475 miles with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of the jetstream?Rate of the jet in still air:Rate of the jet stream :Solve by distance, rate and time using system of linear equations.

Answer 1

Answer:

Rate of the jet in still air: 635 mi/h

Rate of the jet stream: 60 mi/h

Step-by-step explanation:

Let the speed of the jet in still air be x

Let the speed of the jet stream be y

Speed = Distance/time

The speed of the jet traveling against the jet stream = 2875/5

The speed of the jet traveling against the jet stream = 575 miles per hour

x - y = 575...................(1)

The speed of the jet traveling with the jet stream = 3475/5

The speed of the jet traveling with the jet stream = 695 miles per hour

x + y = 695..................(2)

Add equations (1) and (2)

2x = 1270

x = 1270/2

x = 635 mi/h

Rate of the jet in still air: 635 mi/h

Subtract equation (1) from equation (2)

2y = 120

y = 120/2

y = 60 mi/h

Rate of the jet stream: 60 mi/h