Step-by-step explanation:
<u>Notes:</u>
Headwind opposes forward motion, meaning that the plane moves slower.
Tailwind boosts forward motion, meaning that the plane moves faster.
<u>Given:</u>
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.
<u>Solve:</u>
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.
<u>Subtract:</u>
<u></u>
<u>Divide 186 by 2:</u>
<u>Add 93 to 837:</u>
The plane's speed is 930 miles without no wind, in the given time.