A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 1170, what will be C's share of the earnings? Options:
A) $1100 B) $260 C) $1080 D) $1170 E) $630
Explanatory Answer   A, B and C will share the amount of $1170 in the ratio of the amounts of work done by them.   As A takes 6 days to complete the job, if A works alone, A will be able to complete 1/6 th of the work in a day.   Similarly, B will complete 1/8th and C will complete 1/12th of the work.   So, the ratio of the work done by A : B : C when they work together will be equal to 1/6 : 1/8 : 1/12   Multiplying the numerator of all 3 fractions by 24, the LCM of 6, 8 and 12 will not change the relative values of the three values.   We get 24/6 : 24/8 : 24/12 = 4 : 3 : 2.   i.e., the ratio in which A : B : C will share $1170 will be 4 : 3 : 2.   Hence, C's share will be  2*1170/9= 
<gadget id="calculator"> 2*1170/9</gadget>
<output>260</output>
260   correct choice is ($260)
<result>B</result>
A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 1170, what will be C's share of the earnings?