00:01
We have the main formula here is distance equals rate times time.
00:07
And so a plane has a cruising speed of 200 miles per hour when there is no wind.
00:15
At the speed, the plane flew 500 miles with the wind.
00:20
In the same amount of time, it flew 300 miles against the wind.
00:24
So we know time is the same.
00:26
So let's get time by itself here.
00:28
Time is then equals distance over rate so if we focus on with the wind our distance was 500 and our rate was 200 miles per hour with the wind which means the wind is helping us and then against the wind we threw 300 miles or flew 300 miles so our rate would be 200 minus the wind because it's working against us.
01:04
So if we want to solve this, we can cross multiply and say 500 times 200 minus w equals 300 times 200 plus w.
01:18
And so 500 times 200 times 200 is 10 ,000 minus 500 w equals 60 ,000 plus 300 w or yeah, 300 w...