document.write( "Question 894281: A plane traveled 1248 miles to Kampala and back. The trip there was with wind. It took 13 hours. The trip back was into the wind. The trip back took 26 hours. What is the speed of the plane in still air? What is the speed of wind? \n" ); document.write( "

Algebra.Com's Answer #541958 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A plane traveled 1248 miles to Kampala and back.
\n" ); document.write( " The trip there was with wind. It took 13 hours.
\n" ); document.write( " The trip back was into the wind. The trip back took 26 hours.
\n" ); document.write( " What is the speed of the plane in still air?
\n" ); document.write( " What is the speed of wind?
\n" ); document.write( ":
\n" ); document.write( "Let s = plane speed in still air
\n" ); document.write( "let w = speed of the wind
\n" ); document.write( "then
\n" ); document.write( "(s+w) = ground speed with the wind
\n" ); document.write( "and
\n" ); document.write( "(s-w) = ground speed against the wind
\n" ); document.write( ":
\n" ); document.write( "Write a dist equation for each way (dist = speed * time)
\n" ); document.write( "13(s+w) = 1248
\n" ); document.write( "26(s-w) = 1248
\n" ); document.write( "Simplify divide the 1st equation by 13, and the 2nd equation by 26, you have:
\n" ); document.write( "s + w = 96
\n" ); document.write( "s - w = 48
\n" ); document.write( "------------Adding eliminates w, find s
\n" ); document.write( "2s = 144
\n" ); document.write( "s = 144/2
\n" ); document.write( "s = 72 mph plane speed in still air
\n" ); document.write( "Find the wind speed
\n" ); document.write( "72 + w = 96
\n" ); document.write( "w = 24 mph is the wind speed
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can confirm this for yourself, check this in both original equations
\n" ); document.write( " \n" ); document.write( "

\n" );