SOLUTION: A car leaves for Sacramento for Los Angeles traveling 54 mi/hr. A half hour later another car leaves Sacramento for Los Angeles traveling 64 mi/hr. How long after the second car le

Question 802949: A car leaves for Sacramento for Los Angeles traveling 54 mi/hr. A half hour later another car leaves Sacramento for Los Angeles traveling 64 mi/hr. How long after the second car leaves will it pass the first car?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A car leaves for Sacramento for Los Angeles traveling 54 mi/hr. A half hour later another car leaves Sacramento for Los Angeles traveling 64 mi/hr. How long after the second car leaves will it pass the first car?

Let the distance they meet at from Sacramento be x
Car I t= x/54
Car II t= x/64
Time taken by Car I - time taken by Car II = 1/2
x/54-x/64=1/2
64x-54x=54*64/2
10x=54*32
10x = 1728
/10
x=172.8
t= d/r
t= 172.8/64
=2.7 hours
Car II will meet after 2.7 hours
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