SOLUTION: A truck left a depot at noon traveling an average of 40 kilometers per hour. How far from the depot and at what time will it overtake another truck, which left the same depot 2 hou

Question 668771: A truck left a depot at noon traveling an average of 40 kilometers per hour. How far from the depot and at what time will it overtake another truck, which left the same depot 2 hours earlier and was traveling 30 kilometers per hour?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The truck that left earlier had a head start of
km
Let = distance the truck that left at noon went
until it overtook the earlier truck
Let = time to overtake earlier truck
Equation for truck that left at noon:
(1)
Equation for truck that left 2 hrs earlier:
(2)
------------------
(2)
By substitution:

At 6 PM the 2nd truck overtakes the 1st

the 2nd truck overtakes the 1st 240 km from depot
check:
(2)
(2)
(2)
(2) km
OK

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