document.write( "Question 1068277: 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?\r
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Algebra.Com's Answer #683518 by ikleyn(52908) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "This is the link to the solution you could not find in the archive:\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1022112.html\r
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\n" ); document.write( "\n" ); document.write( "Below for your convenience I copied and pasted that solution.\r
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document.write( "Let j = time for Jenny to eat a whole gallon of ice cream all by herself\r\n" );
document.write( "    p = time for Penny - - - - \" - - - \r\n" );
document.write( "    y = time for Lenny.\r\n" );
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document.write( "Then from the condition you have these three equations (standard equations for rates)\r\n" );
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document.write( " +       = ,    (1)\r\n" );
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document.write( "      +  = ,    (2)     ( <---  = 1 :  )\r\n" );
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document.write( " +  +  = .    (3)\r\n" );
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document.write( "Now distract (2) from (3) (both sides). You will get \r\n" );
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document.write( " =  = .\r\n" );
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document.write( "Hence, j =  =  hours.\r\n" );
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document.write( "Answer. It will take  hours for Jenny to eat a whole gallon of ice cream all by herself.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Notice: The equation (1) was not used in the solution at all.
\n" ); document.write( "              The corresponding part of the condition is not necessary and is excessive. \r
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\n" ); document.write( "\n" ); document.write( "There is a wide variety of solved joint-work problems with detailed explanations in this site. See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Rate of work problems \r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Solving more complicated word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Using quadratic equations to solve word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Solving rate of work problem by reducing to a system of linear equations \r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Joint-work problems for 3 participants\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on rate-of-work problems \r
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\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Rate of work and joint work problems\" of the section \"Word problems\".\r
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