document.write( "Question 19283: Please help....\r
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document.write( "I posted this question 19239 because I'm helping my daughter. Sally paint a garge in 8 hours and Susan can paint the garage in 6 hours. If they paint together how long will it take. I have 1 hour and 15 minutes is this correct.\r
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document.write( "Thanks very much. \n" );
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Algebra.Com's Answer #9309 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! No, sorry! First, you should find the rate (how much of the garage per hour) at which the two can paint the garage.\r \n" ); document.write( "\n" ); document.write( "If Sally can paint the garage in 8 hours, then she can paint 1/8 of the garage in 1 hour. \n" ); document.write( "If Susan can paint the garage in 6 hours, then she can paint 1/6 of the garage in 1 hour.\r \n" ); document.write( "\n" ); document.write( "So, together, they can paint (1/8 + 1/6) = 7/24 of the garage in 1 hour. \n" ); document.write( "Let G stand for the painting of the entire garage \n" ); document.write( "You could write this as: (7/24)G = 1 hour. You need to find the value of G, so multiply both sides by the multiplicative inverse of 7/24, that's 24/7.\r \n" ); document.write( "\n" ); document.write( "Now you have G = 24/7 hours. This is the time required for both Sally & Susan to paint the the garage together.\r \n" ); document.write( "\n" ); document.write( "24/7 hours = 3 hr, 25 mins, 43 secs. \n" ); document.write( " |