document.write( "Question 260272: Two airplanes depart from an airport traveling in opposite firections. The second plane is 200 miles per hour faster than the first. At 2 hours they are 1100 miles apart. Find the speeds of the airplanes. \n" ); document.write( "
Algebra.Com's Answer #191823 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two airplanes depart from an airport traveling in opposite directions. \n" ); document.write( " The second plane is 200 miles per hour faster than the first. \n" ); document.write( " At 2 hours they are 1100 miles apart. Find the speeds of the airplanes. \n" ); document.write( ": \n" ); document.write( "Let s = speed of the 1st plane \n" ); document.write( "then \n" ); document.write( "(s+200) = speed of the 2nd \n" ); document.write( ": \n" ); document.write( "Write a dist equation; dist = time * speed \n" ); document.write( ": \n" ); document.write( "1st plane dist + 2nd plane dist = 1100 miles \n" ); document.write( "2s + 2(s+200) = 1100 \n" ); document.write( ": \n" ); document.write( "2s + 2s + 400 = 1100 \n" ); document.write( "4s = 1100 - 400 \n" ); document.write( "4s = 700 \n" ); document.write( "s = \n" ); document.write( "s = 175 mph is the 1st plane \n" ); document.write( "then, obviously: \n" ); document.write( "375 mph is the 2nd plane \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( "2(175) + 2(375) = \n" ); document.write( "350 + 750 = 1100 \n" ); document.write( " |