SOLUTION: It takes a train the same time to travel 450 km as it takes a bus to travel 300 km. If the bus is traveling 30 km/h slower than the train, find the rate at which each is traveling.

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Question 381458: It takes a train the same time to travel 450 km as it takes a bus to travel 300 km. If the bus is traveling 30 km/h slower than the train, find the rate at which each is traveling.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
450=RT
T=450/R
300=(R-30)T
T=300/(R-30)
450/R=300/(R-30)
300R=450(R-30)
300R=450R-13,500
300R-450R=13.500
-150R=-13,500
R=-13,500/-150
R=90 KMH FOR THE TRAIN
90-30=60 KMH.
PROOF:
450/90=300/60
5=5