SSC CGL 17 Aug 2021 Shift 1 Paper

Question : 53 of 100

Marks: +1, -0

2 men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work.

Validate

Solution:

According to the question,

(2 \;\text " men "\;+7 \;\text " women "\;) × 28

\;\;\; =(6 \;\text " men "\;+16 \;\text " women "\;) × 11

⇒ 56

men

+196

women

=66

men

+176

women

⇒ 66

men

-56

men

=196

women

-176

women

⇒ \;\; 10 \;\text " men "\; \;\; =20 \;\text " women "\;

⇒ \;\; \;{\;\text " men "\;}/{\;\text " women "\;} \;\; =\;{20}/{10}=\;{2}/{1}

\;\text " Total work "\; \;\; =(2 {m}+7 {w}) × 28

\;\; =(2 × 2+7 × 1) × 28

\;\; =11 × 28

7 \;\text " men can complete the work in "\;

\;\; =\;{11 × 28}/{7 × 2}=22 \;\text " days. "\;

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