document.write( "Question 118215: An airplane traveled 2660 miles in 3.5 hours with a tail wind. The return trip took 3.8 hours with a head wind. What was the speed of the airplane in still air? What was the speed of the wind? Solve by using a system oi\f equations. \n" ); document.write( "
Algebra.Com's Answer #86311 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
An airplane traveled 2660 miles in 3.5 hours with a tail wind.
\n" ); document.write( "The return trip took 3.8 hours with a head wind.
\n" ); document.write( "What was the speed of the airplane in still air?
\n" ); document.write( "What was the speed of the wind?
\n" ); document.write( "Solve by using a system oi\f equations
\n" ); document.write( "---------------
\n" ); document.write( "Let airplane speed be \"p\"; Let wind speed be \"w\"
\n" ); document.write( "---------------
\n" ); document.write( "With-the-wind DATA:
\n" ); document.write( "Distance = 2660 mi ; Time = 3.5 hrs ; Rate = d/t = 2660/3.5 = 760 mph
\n" ); document.write( "-----------------
\n" ); document.write( "Against-the-wind DATA:
\n" ); document.write( "Distance = 2660 mi; Time = 3.8 hrs ; Rate = d/t = 2660/3.8 = 700 mph
\n" ); document.write( "-------------------
\n" ); document.write( "EQUATIONS:
\n" ); document.write( "p+w = 760
\n" ); document.write( "P-w = 700
\n" ); document.write( "-----------
\n" ); document.write( "Add to get:
\n" ); document.write( "2p = 1460
\n" ); document.write( "p = 730 mph (speed of the place in still air)
\n" ); document.write( "--------------
\n" ); document.write( "Solve for \"w\":
\n" ); document.write( "p+w = 760
\n" ); document.write( "730+w = 760
\n" ); document.write( "w = 30 mph (speed of the wind)
\n" ); document.write( "----------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );