document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #835257 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "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.

\n" ); document.write( "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:

\n" ); document.write( " $\"645%2F540=%28x%2B15%29%2F%28x-20%29\"$
\n" ); document.write( " $\"540%28x%2B15%29=645%28x-20%29\"$
\n" ); document.write( " $\"540x%2B8100=645x-12900\"$
\n" ); document.write( " $\"21000=105x\"$
\n" ); document.write( " $\"x=200\"$

\n" ); document.write( "ANSWER: 200 mph

\n" ); document.write( " \n" ); document.write( "

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