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 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? 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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