document.write( "Question 150819: The speed of a plane is 120 miles per hour in a calm. With the wind it can cover a certain distance in 4 hours, but against the wind it can cover only 3/5 of that distance in the same time. Find the velocity of the wind. \n" ); document.write( "
Algebra.Com's Answer #110747 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The speed of a plane is 120 miles per hour in a calm. With the wind it can cover a certain distance in 4 hours, but against the wind it can cover only 3/5 of that distance in the same time. Find the velocity of the wind. \n" ); document.write( ". \n" ); document.write( "Let x=velocity of the wind \n" ); document.write( ". \n" ); document.write( "distance with wind = 4(120+x) \n" ); document.write( "distance against the wind = 4(120-x) \n" ); document.write( ". \n" ); document.write( "(3/5)(4)(120+x) = 4(120-x) \n" ); document.write( "(3/5)(120+x) = (120-x) \n" ); document.write( "(3)(120+x) = 5(120-x) \n" ); document.write( "360+3x = 600-5x \n" ); document.write( "360+8x = 600 \n" ); document.write( "8x = 240 \n" ); document.write( "x = 30 mph\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |