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A, B and C can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after 4 days A leaves the job and…

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A, B and C can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after 4 days A leaves the job and B left the job 6days before the work was completed. C completed the remaining work alone. In how many days was the total work completed?
  • A10
  • B12
  • C14
  • D16
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CCommunity
3). 14
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CCommunity
LCM OF A,B,C (20,24,30)=120

= (6,5,4) A/Q C+B+A

WORKS WRT. TO DAYS 4(X+4)+5(X+4-6)+(6*4) = 120

X=10

TOTAL WORKING DAYS = X+4= 14

WE ARE ADDING 4 BECAUSE ALL TOGETHER A,B AND C DO THE WORK TILL AFTER A IS GONE.