document.write( "Question 1022114: Jenny and Penny can eat a whole gallon of ice cream together in 2 hours. Penny and Lenny can eat a whole gallon of ice cream together in 1 (2/3) hours. All three together can eat a whole gallon of ice cream together in 1 hour. How many hours would it take Jenny to eat a whole gallon of ice cream all by herself? \n" ); document.write( "
Algebra.Com's Answer #637888 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Here's the easiest way to solve the problem. No algebra needed.\r\n" ); document.write( "Just basic math. Not only that but also too much information is \r\n" ); document.write( "given. We don't even need the first sentence at all.\r\n" ); document.write( "\r\n" ); document.write( "The times given in the other sentences are 1 2/3 hours, and \r\n" ); document.write( "1 hour.\r\n" ); document.write( "\r\n" ); document.write( "1 2/3 hours is 1 hour 40 minutes or 100 minutes.\r\n" ); document.write( "\r\n" ); document.write( "So the times given are 100 minutes and 60 minutes.\r\n" ); document.write( "\r\n" ); document.write( "The easiest common multiple of those is 600 minutes or 10 hours.\r\n" ); document.write( "So let's take everything up to 10 hours.\r\n" ); document.write( " \n" ); document.write( "Penny and Lenny can eat a whole gallon of ice cream together \n" ); document.write( "in 1 (2/3) hours. \n" ); document.write( " \r\n" ); document.write( "That's 100 minutes, so in 600 minutes (or 10 hours) Penney \r\n" ); document.write( "and Lenny can eat 6 gallons. \r\n" ); document.write( " \n" ); document.write( "All three together can eat a whole gallon of ice cream \n" ); document.write( "together in 1 hour. \n" ); document.write( " \r\n" ); document.write( "So in 10 hours they can all three eat 10 gallons.\r\n" ); document.write( "\r\n" ); document.write( "Since in 10 hours Penney and Lenny would eat 6 of those 10 \r\n" ); document.write( "gallons, Jenny would eat the other 4. Jenny can eat 4 \r\n" ); document.write( "gallons in 10 hours, so Jenny could eat 1 gallon in 1/4th \r\n" ); document.write( "of 10 hours or 2 1/2 hours. \r\n" ); document.write( "\r\n" ); document.write( "See? We didn't need the first sentence, or any algebra, \r\n" ); document.write( "at all. :)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |