Question

A private jet can fly 837 miles against a 15-mph headwind in the same amount of time it can fly 1023 miles with a 15-mph tailwind. Find the speed of the jet.

Answer 1

Explanation:

Notes:

Headwind opposes forward motion, meaning that the plane moves slower.

Tailwind boosts forward motion, meaning that the plane moves faster.

Given:

The jet can fly 837 miles against a 15-mph headwind.

The jet can fly 1023 miles with a 15-mph Tailwind, given the same amount of time for the headwind.

Solve:

We're trying to find the speed of the jet when there's no wind boosting or counteracting the speed.

The speed has to be in-between 837 and 1023.

Let's find the number in-between 837 and 1023.

Subtract:

`1023 - 837 = 186`

Divide 186 by 2:

`(186)/(2) = 93`

Add 93 to 837:

`837 + 93 = 930`

The plane's speed is 930 miles without no wind, in the given time.