SOLUTION: a bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30 pm and travels the same route as the bus, but travels at a rate of 60 miles per h

Question 655436: a bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30 pm and travels the same route as the bus, but travels at a rate of 60 miles per hour. What time will the car catch up to the bus?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The bus has a head start of mi
Let = distance car travels until
it catches the bus
Let = time in hours car takes to catch bus
Start a stopwatch when the car leaves.
Car's equation:
(1)
Bus's equation:
(2)
-------------------
Substitute (1) into (2)
(2)
(2)
(2)
12:30 + 2.5 hrs = 3:00
The car catches the bus at 3:00 PM
check:
(1)
(1) mi
and
(2)
(2)
(2) mi
OK
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