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On a trip of 200 miles, a man travels at the rate of 40 miles per hour for the first 100 miles. For the rest of the trip, he travels at the rate of 55 miles per hour . What is his average speed, in miles per hour, for the total trip ?

Correct Answer: 400/9
Total time spent = 100/40 + 100/55 = 5/2 + 20/11 = 95/22 hours Average speed = 200 / (95/22) = 200 x 22 / 95 =   880/19 miles per hour

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How long must a driver take to drive the final 70 miles of a trip if he wants to average 50 miles an hour for the entire trip and during the first part of the trip he drove 50 miles in $$1\frac{1}{2}$$ hours ?