SOLUTION: Suppose a car and a truck both leave from Johannesburg. The car leaves at 09:00, and the truck leaves 45 minutes earlier. The car travels at 120 km/h and the truck travels at 90 km
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Question 982554: Suppose a car and a truck both leave from Johannesburg. The car leaves at 09:00, and the truck leaves 45 minutes earlier. The car travels at 120 km/h and the truck travels at 90 km/h. How far away from Johannesburg will they meet?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What distance is the truck's head start?
( 45 min is 3/4 of an hour )
km
----------------------
Start a stopwatch when the car leaves at 9:00
Let = time in hours on stopwatch when
car catches up with the truck
Let distance the car travels until it
catches up with the truck
-----------------------
Equation for the car:
(1)
Equation for the truck:
(2)
----------------------
(1)
(2)
(2)
(2)
(2)
-----------------
They meet 270 km from Johannesburg
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
( note that they meet at 11:15 )
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