SOLUTION: A jet traveling at 570 miles per hour overtakes a prop-plane that is traveling 150 miles per hour. The prop-plane had a 2.8 hour head start . How far from the starting point does t

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Question 604213: A jet traveling at 570 miles per hour overtakes a prop-plane that is traveling 150 miles per hour. The prop-plane had a 2.8 hour head start . How far from the starting point does the jet overtake the prop-plane?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A jet traveling at 570 miles per hour overtakes a prop-plane that is traveling 150 miles per hour.
The prop-plane had a 2.8 hour head start.
How far from the starting point does the jet overtake the prop-plane?
:
First find out how long it took the faster jet to overtake the slower
Let t = travel time of the jet
then
(t+2.8) = travel time of the prop
:
When this occurs they will have traveled the same distance
write a dist equation; dist = speed * time
570t = 150(t+2.8)
570t = 150t + 420
570t - 150t = 420
420t = 420
t = 1 hr to overtake the prop
:
Find the dist from starting point
570*1 = 570 mi
Check dist
150*3.8 = 570 mi