SOLUTION: Two cars traveled at the rates of 50 kph and 60 kph respectively. The faster car traveled 2 hours longer than the slower car and went 150 kms farther. Find the time traveled by the

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Question 623189: Two cars traveled at the rates of 50 kph and 60 kph respectively. The faster car traveled 2 hours longer than the slower car and went 150 kms farther. Find the time traveled by the slower car.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance traveled by slower car in km
Let +t+ = time for slower car in hrs
given:
Slower car:
(1) +d+=+50t+
Faster car:
(2) +d+%2B+150+=+60%2A%28+t+%2B+2+%29+
-----------------------
(2) +d+%2B+150+=+60t+%2B+120+
Substitute (1) into (2)
(2) +50t+%2B+150+=+60t+%2B+120+
(2) +10t+=+150+-+120+
(2) +10t+=+30+
(2) +t+=+3+
The slower car traveled for 3 hrs
check:
(1) +d+=+50%2A3+
(1) +d+=+150+ km
and
(2) +d+%2B+150+=+60%2A%28+3+%2B+2+%29+
(2) +d+%2B+150+=+300+
(2) +d+=+150+ km
OK