SOLUTION: A car's rate is 50 kph. A truck's rate is 40 kph. If the car starts later by 5 km in comparison's to the truck's, how many minutes before the car reaches the truck? Is it 30 min

Question 1039115: A car's rate is 50 kph. A truck's rate is 40 kph. If the car starts later by 5 km in comparison's to the truck's, how many minutes before the car reaches the truck?
Is it 30 minutes? But how did you arrive with this answer?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Start a stopwatch when the car leaves.
Let = the time on the stopwatch in
hrs when the car catches up with the truck
Let = the distance in km the car travels
until it catches up with the truck
---------------------------------------
Equation for the car:
(1)
Equation for the truck:
(2)
--------------------
Substitute (1) into (2)
(2)
(2)
(2)
------------------
The car catches up with the truck 1/2 after
the CAR leaves.This is an important point.
---------------
If you wanted to know the time in hrs to catch the truck
after the truck leaves, you must add in the truck's time
to travel 5 km

The car catches the truck 5/8 hr after the TRUCK leaves.
This isn't what was wanted, so you don't care about it.

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