SOLUTION: After flying for 5 hrs., a pilot increased his speed 10 mph. He flew at this speed for 2 hrs., and then decreased the speed to what it had been at first. The entire flying time was

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Question 39099: After flying for 5 hrs., a pilot increased his speed 10 mph. He flew at this speed for 2 hrs., and then decreased the speed to what it had been at first. The entire flying time was 8 hrs., and the distance was 1,532 mi. What was the rate of flying after the speed was increased?
(Not from a text) Could this answer be 400 mph ? Please help, Thank You
Answer by mbarugel(146) (Show Source):
You can put this solution on YOUR website!
Hello!
Let's call X to the original speed in mph. We know that the plane flew for a total of 6 hours at a speed of X and a total of 2 hours at a speed of X + 10. Therefore, the total distance is traveled was:

Since we're told that total distance was 1,532 miles, we get:

SO the original speed was 189 mph, and after the speed was increased it went to 199 mph.

I hope this helps!
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