Trains A and B travel at the same constant rate in opposite directions along the same route between Town G and Town H. If, after traveling for 2 hours, Train A passes Train B, how long does it take Train B to travel the entire distance between Town G and Town H?
(1) Train B started traveling between Town G and Town H 1 hour after Train A started traveling between Town H and Town G.
(2) Train B travels at the rate of 150 miles per hour.
I did the following. Using information in the problem and the first statement I made two equations
Train A --> d = r(t + 1)
Train B --> d = rt
rt = rt + r --> t = 1
So --> (t + 1) + t = 1 + 1 + 1 = 3
Since the two trains ultimately traveled the same distance and traveled at the same constant rate, I can treat the two combined trajectories as a single vector in one or the other direction. Therefore, it took train B to travel 3 hours.
Is this correct? Or is my thinking flawed.
Thanks.
MGMAT - Rates - Seems right ????
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- AleksandrM
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