If one car leaves at 3:00 pm traveling at a rate of 50 mph, and another car leaves 2 hours later at a rate of 60 mph, when do the two cars meet?
A time-distance rate problem?
Let x be the number of hours after 3:00pm when the cars meet.
The distance travelled by the first car is 50x mi.
The distance travelled by the second car is 60(x - 2) mi.
Equating these two distances:
50x = 60(x - 2)
50x = 60x - 120
10x = 120
x = 12.
The cars 12hr. after 3:00pm, and that is at 3:00am.
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