document.write( "Question 758580: The sanderling is a small shorebird about 6.5 in. long, with a thin, dark bill and a wide, white wing stripe. If a sanderling can fly 30 mi with the wind in the same time it can fly 18 mi against the wind when the wind speed is 8 mph, what is the speed of the bird in still air? \n" ); document.write( "
Algebra.Com's Answer #461580 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If a sanderling can fly 30 mi with the wind in the same time it can \n" ); document.write( " fly 18 mi against the wind when the wind speed is 8 mph, \n" ); document.write( " what is the speed of the bird in still air? \n" ); document.write( ": \n" ); document.write( "Let s = bird speed in still air \n" ); document.write( "then \n" ); document.write( "(s+8) = ground speed of the bird with the wind \n" ); document.write( "and \n" ); document.write( "(s-8) = ground speed against the wind \n" ); document.write( ": \n" ); document.write( "Write a time equation; time = dist/speed \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "30(s-8) = 18(s+8) \n" ); document.write( "30s - 240 = 18s + 144 \n" ); document.write( "30s - 18s = 144 + 240 \n" ); document.write( "12s = 384 \n" ); document.write( "s = 384/12 \n" ); document.write( "s = 32 mph is the speed in still air \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this by finding the time of each way, should be equal \n" ); document.write( "With: 30/40 = .75 hrs \n" ); document.write( "Against: 18/24 = .75 hrs \n" ); document.write( " |