SSC CGL 7 Sep 2016 Paper

Question : 52 of 100

Marks: +1, -0

A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in

8 days
16 days
30 days
32 days

Validate

Solution:

(A + B)’s 1 day’s work =

1/{36}

(B + C)’s 1 day’s work =

1/{24}

(A + C)’s 1 day’s work =

1/{18}

On adding all three,
2 (A + B + C)’s 1 day’s work
=

1/{36}+1/{24}+1/{18}

{2+3+4}/{72}

9/{72}

1/8

∴ (A + B + C)’s 1 day’s work
=

1/{16}

∴ Required time = 16 days

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