SOLUTION: A car leaves A at 8 AM and travels to B at a rate of 60 kph. A bus leaves B at 8:30 AM and travels to A at a rate of 75 kph. If the car and the bus pass each other midway between

Question 938062: A car leaves A at 8 AM and travels to B at a rate of 60 kph. A bus leaves B at 8:30 AM and travels to A at a rate of 75 kph. If the car and the bus pass each other midway between A and B, at what time will the car pass the bus?

As much as I like to put my own solution .. I can't because I really don't how and I need this as review for a competition so pleaae help me?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A car leaves A at 8 AM and travels to B at a rate of 60 kph.
A bus leaves B at 8:30 AM and travels to A at a rate of 75 kph.
If the car and the bus pass each other midway between A and B, at what time will the car pass the bus?
:
If the meet half-way, the will both have traveled the same distance
:
let t = bus travel time (till when they meet)
then
(t+.5) = car travel time. (left a half hour earlier)
Write a distance equation, dist = speed * time
75t = 60(t+.5)
75t = 60s + 30
75t - 60t = 30
15t = 30
t = 30/15
t = 2 hrs, is the bus travel time
8:30 + 2:00 = 10:30 meeting time
:
:
Car travel time = 2.5 hrs, 8:00 + 2.5 = 10:30 also
Check the distance for each, should be the same
2*75 = 150 mi
2.5*60 = 150 mi
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