SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 14 of 100

Marks: +1, -0

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days?

4 days
3 days
2 days
1 day

Validate

Solution:

(4) According to the question,
2 (Time taken by 4 men in doing 1 work) = Time taken by 5 children in doing 1 work
i.e., 8 men ≡ 5 children

∴ 12

men

≡{5}/{8}× 12

= {15}/{2}

children
Again, 1 man ≡ 2 women
∴ 2 women ≡

5/8

child
∴ 8 women ≡

5/2

children
∴ 12 men + 10 children + 8 women ≡

( {15}/{2}+10+ {5}/{2} )

≡ 20 children
∵ 1 child does 1 work in 20 days
∵ Time taken by 20 children =

20/20

= 1 day.

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