A truck is traveling 45 mlies per hour and a train traveling

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?

Solution

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).