A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was

Question

2 years ago

7

144mph less than 2 times the speed of the private jet, find the speed of each jet.

1 answer:

mamaluj [8] · Answer 1 · 2023-05-13T22:42:37+03:00

Solving a system of equations, we can see that:

<h3>How to find the speeds of each jet?</h3>

Let's define the variables:

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

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