A car traveled 75% of the way from town A to town B at an average speed of 50 mph. The car travels at an average speed of S mph for there remaining part of the trip. The average speed for the entire trip was 40 mph. What is the value of S, in mph?

A 25
B 30
C 20
D 10

Correct Answer: 25

Let the total distance be D. Distance travelled at 50 mph = 75% of D = 0.75D Time taken = 0.75D/50 hour Distance travelled at S mph = 25% of D = 0.25D Time taken = 0.25D/S hour Now,   0.75D/50 + 0.25D/S = D/40 or,  0.75/50 + 0.25/S = 1/40 [ dividing both sides by D] or,  0.25/S = 1/40 - 0.75/50 = (5 - 4×0.75)/200 = 1/100 or,  S = 0.25×100 =  25 mph
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