SOLUTION: A small airplane flies 1120 miles with an average speed of 280 miles per hour. 2 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at th

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Question 921605: A small airplane flies 1120 miles with an average speed of 280 miles per hour. 2 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747 ?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
_____________________rates___________time_________distance
SMALL________________280_____________t+2__________1120______280%28t%2B2%29=1120
747___________________r_______________t___________1120______rt=1120

Two equations in the two unknowns r and t.
Solve the system for r.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

A small airplane flies 1120 miles with an average speed of 280 miles per hour. 2 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747 ?

Time small airplane traveled for: 1120%2F280, or 4 hours
Boeing 747 takes 2 hours less, or 4 – 2, or 2 hours
Speed of 747: 1120%2F2, or highlight_green%28highlight_green%28560%29%29 mph