SOLUTION: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 150 mph that had a 3-hour head start. How far from the starting point are the​ planes

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Question 1068163: A jet plane traveling at
500 mph overtakes a propeller plane traveling at
150 mph that had a
3-hour head start. How far from the starting point are the​ planes

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
propeller plane leaves at t=0
jet plane leaves 3 hours later
time both have traveled is 3+t hours for propeller and t hours for jet
Distance is rate*time, and both distances are equal.
150(3+t)=500t
450+150t=500t
450=350t
t=450/350=9/7 hours
In that time, the jet has traveled 500*(9/7)=642.86 miles
the propeller plane traveled 150(30/7)=4500/7, same as above.

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