SOLUTION: How long will it take ab bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5 hour head start?

Question 1108099: How long will it take ab bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5 hour head start?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How far did the car get in hrs ?

mi
Start a stop watch when the bus leaves
Let = time in hrs on stop watch
when the bus catches the car
Let = distance in miles the bus
travels until it catches the car
-----------------------------------------
Equation for the bus:
(1)
Equation for the car:
(2)
----------------------------
(2)
Plug (1) into (2)
(2)
(2)
(2)
It will take the bus 3 hrs to catch up with the car
-----------------------------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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