document.write( "Question 885185: The diameter of the rear and front wheels of a pushcart are 30 and 18 respectively. In what distance in feet would the front wheel make 20 revolutions more than rear wheels? \n" ); document.write( "
Algebra.Com's Answer #534990 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The diameter of the rear and front wheels of a pushcart are 30 and 18 respectively. \n" ); document.write( " In what distance in feet would the front wheel make 20 revolutions more than rear wheels? \n" ); document.write( ": \n" ); document.write( "The ratio of the two circumferences is the same as the two diameters: 30:18 \n" ); document.write( "let n = no. of rev of the rear wheel \n" ); document.write( "30n = 18(n+20) \n" ); document.write( "30n = 18n + 360 \n" ); document.write( "30n - 18n = 360 \n" ); document.write( "n = 360/12 \n" ); document.write( "n = 30 rev for the rear wheel, to exceed the front wheel rev by 20 \n" ); document.write( ": \n" ); document.write( "Find the distance using the circumference \n" ); document.write( "30*pi*30 = 2827.4 inches, back wheel \n" ); document.write( ": \n" ); document.write( "Check this using the front wheel \n" ); document.write( "the front wheel goes the same dist when it has 50 rev \n" ); document.write( "50*pi*18 = 2827.4 inches \n" ); document.write( "Find this distance in ft \n" ); document.write( "2827.4/12 = 235.6 ft \n" ); document.write( " |