SOLUTION: three airports, A, B, and C, are located in a north-south line. b is 645 mi north of A, and C is 540 mi north of B. a pilot flew from A to B, delayed 2 h, and continued to C,. the

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: three airports, A, B, and C, are located in a north-south line. b is 645 mi north of A, and C is 540 mi north of B. a pilot flew from A to B, delayed 2 h, and continued to C,. the       Log On

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Question 1201019: three airports, A, B, and C, are located in a north-south line. b is 645 mi north of A, and C is 540 mi north of B. a pilot flew from A to B, delayed 2 h, and continued to C,. the wind was blowing from the south at 15 mi/h during the first part of the trip, but during the delay it changed to the north with a velocity of 20 mi/h. if each flight required the same time, find the airspeed of the plane.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


If the speed of the plane in mph is x, then the speed on the first trip is x+15 and the speed on the second trip is x-20.

Since the times for the two trips were the same, the ratio of the two distances is the same as the ratio of the two speeds:

645%2F540=%28x%2B15%29%2F%28x-20%29
540%28x%2B15%29=645%28x-20%29
540x%2B8100=645x-12900
21000=105x
x=200

ANSWER: 200 mph