SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 73 of 100

Marks: +1, -0

A, B and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B left off 8 days and C six days before the completion of the work. In what time is the work finished?

10 days
9 days
12 days
14 days

Validate

Solution:

(3) Let the work be completed in x days.
According to the question,

{x}/{16}+ {x-8}/{32}+ {x-6}/{48}=1

⇒{6 x+3 x-24+2 x-12}{96}=1

⇒ 11 x-36=96

⇒ 11 x=96+36=132

⇒ x= {132}/{11}=12

days

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