SOLUTION: A jet airplne leaves an airport traveling at a steady rate of 600km/h. Another jet leaves the same airport 3/4 h later traveling 800km/h in the same direction. How long will the

Question 561662: A jet airplne leaves an airport traveling at a steady rate of 600km/h. Another jet leaves the same airport 3/4 h later traveling 800km/h in the same direction. How long will the second jet take to overtake the first?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How many km head start does the 1st plane have?

Let = time for 2nd jet to overtake 1st
Let = distance that 2nd jet travels
-----------------
Equation for 2nd jet:
(1)
Equation for 1st jet:
(2)
( note that is the same for both )
Substitute (1) into (2)
(2)
(2)
(2)
It will take the 2nd jet 2 hrs and 15 min to overtake 1st
check answer:
(1)
(1) km
and
(2)
(2)
(2) km
OK
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