document.write( "Question 834454: On a particular flight, the fastest plane requires 3 hrs and the slower one 3 hrs and 36 minutes. The fastest plane flies at a ground speed 75 miles per hour faster than another. What is the distance of the flight? \n" ); document.write( "
Algebra.Com's Answer #502999 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let F = fastest, and S = slowest. \n" ); document.write( "They're covering the same distance. \n" ); document.write( "F is 1.2 times as fast as S (3.6/3 -- the .6 is 36/60 [minutes]) \n" ); document.write( "If F = S + 75 and F = 1.2S, we can substitute the value of F \n" ); document.write( "1.2S = S + 75 \n" ); document.write( "Subtract S from each side \n" ); document.write( ".2S = 75 \n" ); document.write( "Multiply each side by 5 (to get a whole S) \n" ); document.write( "S = 375; therefore F = 450 (The fastest plane flies at a ground speed 75 miles per hour faster than another.) \n" ); document.write( ". \n" ); document.write( "If F flies at 450mph for 3 hours, then the distance is 1350 \n" ); document.write( "S flies for 3.6 hours at 375 (3.6 * 375) = 1350 \n" ); document.write( ". \n" ); document.write( "Sort of a convoluted problem! I'm sure there are many ways to solve it. This is just one. \n" ); document.write( " |