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Bunuel
Train A departs Roseville heading for Springtown at 10 p.m. and train B departs Springtown at the same time headed to Roseville on a parallel track. If train A travels at 80 miles per hour and train B travels at 85 miles per hour and the distance from Springtown to Roseville is 660 miles, then how long will it take for the two trains to be at the same point relative to Springtown?

A. 3.5
B. 3.8
C. 4
D. 8
E. 8.25

We have a converging rate problem in which we can use the formula:

distance of train A + distance of train B = total distance

Train A is traveling at a rate of 80 mph and train B is traveling at a rate of 85 mph. Since the trains both left at the same time, we can let the time of each train = t. Thus:

80t + 85t = 660

165t = 660

t = 4

Answer: C
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