SOLUTION: A car traveling on an interstate highway leaves a rest stop at 3 p.m., traveling at 75 km/h. Another car leaves the same rest stop 12 min later, headed in the same direction. If

Question 959278: A car traveling on an interstate highway leaves a rest stop at 3 p.m., traveling at 75 km/h. Another car leaves the same rest stop 12 min later, headed in the same direction. If the second car travels at 195 km/h, how long will it be before it overtakes the first car?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The 1st car has a head start of:

km
-------------------
Let = the distance in km the 2nd car
travels until it catches the 1st car
Let = the time in hrs it takes the
2nd car to catch the 1st car
----------------------------------------
Start a stop watch when the 2nd car leaves
-------------------
Equation for 1st car:
(1)
Equation for 2nd car:
(2)
-------------------
By substitution:
(1)
(1)
(1)

-------------------
The 2nd car catches the 1st car in 7.5 min
The time would be 3 PM + 12 min + 7.5 min
or 3:19:30 PM
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

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