SOLUTION: A plane flying at 300mph has a 3 hour head start on a chase plane which has a speed of 800 mph. How far from the airport will the chase plane overtake the first plane?

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Question 775493: A plane flying at 300mph has a 3 hour head start on a chase plane which has a speed of 800 mph. How far from the airport will the chase plane overtake the first plane?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The first and slow plane flies for 3+x hours and the fast late plane flies for just the x hours, before the fast plane reaches the same distance - both planes being at same distance. How far from the airport, d?

Slow early plane: 300%28x%2B3%29 miles
Fast late plane: 800%2Ax miles
Those distance will be equal when the fast one catches up with the slow one.
300%28x%2B3%29=800x
3%28x%2B3%29=8x
3x%2B9=8x
5x=9
x=9%2F5
x=1%264%2F5 hours, or 1 hour 48 minutes