A and B undertake to do a piece of work for $600. A alone can do it in 6days while B alone can do it in 8days. With the help of C, they finish it in 3days. Find the share of A? Choose the correct choice from the following answers.
A) $100  B) $150  C) $300  D) $250  E) $350
$300's 1day work = (1/3)-(1/6 + 1/8) = 1/24   A:B:$300= 1/6 : 1/8: 1/24 = 4:3:1   A's share = 600*4/8= 
<gadget id="calculator">600*4/8</gadget>
<output>300</output>
$300   Answer is $300
<result>C</result>
A and B undertake to do a piece of work for $600. A alone can do it in 6days while B alone can do it in 8days. With the help of C, they finish it in 3days. Find the share of A?