document.write( "Question 1058142: Dinu & Hemu can plough a field in 15 days . If Dinu alone can plough 1/8 of the field in 5 days , how many days will Hemu take to do the same work alone? \n" ); document.write( "
Algebra.Com's Answer #673162 by ikleyn(52800)\"\" \"About 
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\n" ); document.write( "Dinu & Hemu can plough a field in 15 days . If Dinu alone can plough 1/8 of the field in 5 days ,
\n" ); document.write( "how many days will Hemu take to do the same work alone?
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document.write( "If Dinu alone can make 1/8 of the job in 5 days then Dinu can do the entire job in 8*5 = 40 days.\r\n" );
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document.write( "Now, Dinu and Hemu can make \"1%2F15\" of the job per day, working together, as we know from the condition.\r\n" );
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document.write( "From the other side, Dinu can make \"1%2F40\" of the job per day, working alone.\r\n" );
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document.write( "Hence, Hemu makes \"1%2F15+-+1%2F40\" of the work per day, working alone.\r\n" );
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document.write( "\"1%2F15+-+1%2F40\" = \"8%2F120+-+3%2F120\" = \"5%2F120\" = \"1%2F24\".\r\n" );
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document.write( "If Hemu makes \"1%2F24\" of the work per day, he can complete the entire job in 24 days, working alone.\r\n" );
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document.write( "Answer.  Hemu can complete the entire job in 24 days, working alone.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The lesson to learn from this solution: \r
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\n" ); document.write( "\n" ); document.write( "     There is no need to solve equations.
\n" ); document.write( "     You can solve it using simple logic.
\n" ); document.write( "     You also are supposed to operate freely with fractions. That's all.\r
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\n" ); document.write( "\n" ); document.write( "     Simple logic and fractions.\r
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\n" ); document.write( "There is a bunch of lessons on similar joint-work problems with detailed explanations \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( "    - Selected joint-work word problems from the archive \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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