SOLUTION: One car travels 165 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than the first to go 156 miles. What are the speeds of the cars?

Question 844137:
One car travels 165 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than the first to go 156 miles. What are the speeds of the cars?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
DIST=SPEED*TIME
165=S*T
156=(S-3)T
S=165/T
156=(165/T-3)T
156=165-3T
3T=165-156
3T=9
T=9/3
T=3 HOURS.
165=S*3
S=165/3
S=55 MPH. FOR THE FASTER TRUCK
55-3=52 MPH FOR THE SLOWER TRUCK
PROOF:
156=52*3
156=156
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