document.write( "Question 1011640: How to solve: Terry the frog and charles the rabbit want to create a course consisting of 30 lessons. If they do it together, it would take them 300 hours. if they do it separately, Terry would be 60 hours faster than charles. When they do the job together, how many lessons should terry expect to do? express answer in form of a+b√c \n" ); document.write( "
Algebra.Com's Answer #627371 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Work or task rates.
\n" ); document.write( "One job is \"create the 30 lessons\".\r
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document.write( "Terry               1/(x-60)\r\n" );
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document.write( "Charles             1/x\r\n" );
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document.write( "Both at same time   1/300\r\n" );
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\n" ); document.write( "\n" ); document.write( "The alternative way is to take the equivalent, Charles needs 60 hours MORE than Terry, and form the rates this way:
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document.write( "Terry               1/x\r\n" );
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document.write( "Charles             1/(x+60)\r\n" );
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document.write( "Both at same time   1/300\r\n" );
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\n" ); document.write( "Both together, their rates are......
\n" ); document.write( "\"1%2Fx%2B1%2F%28x%2B60%29=1%2F300\"
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\n" ); document.write( "\"x%5E2-540x-18000=0\"
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\n" ); document.write( "\"x=%28540%2B-+sqrt%28101%2A100%2A36%29%29%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28540%2B-+60%2Asqrt%28101%29%29%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=270%2B-+30sqrt%28101%29\", but the MINUS form will not make sense.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28x=270%2B30sqrt%28101%29%29\" \n" ); document.write( "
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