Question 208942: A truck is traveling 45 mlies per hour and a train traveling 60 miles per hour cover the same distance. The truck travles 2 hours longer than the train. how many hours deos each travel?
Answer by kthanhpn(2)   (Show Source):
You can put this solution on YOUR website! Call the time the truck needs to travel this distance t. Because the total time of the truck is 2 hours longer than the total time of the train, the time of the train can be expressed as t-2. Recall that distance can be calculated by finding the product of speed and time. Therefore, we can set up the equation:
45(t) = 60(t-2)
Simplify, we have:
45t = 60t - 120
Subtract 60t from each sides, we have:
-15t = -120
t = 8
Train: 8-2=6
The truck travels for 8 hours.
The train travels for 6 hours.
To check this, plug in the numbers
45(8) = 360
60(6) = 360
And 8-6 = 2 (hours).
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