SSC CGL Tier II 12 Apr 2015 Paper

Question : 62 of 100

Marks: +1, -0

A company employed 200 workers to complete a certain work in 150 days. If only one-fourth of the work has been done in 50 days, then in order to complete the whole work in time, the number of additional workers to be employed was

Validate

Solution:

(1) 200 workers do

1/4

work in 50 days.
How many workers will do

3/4

work in 100 days ?
Number of additional workers = x (let)

∴{ {M}_{1} {D}_{1}}/{ {W}_{1}}= { {M}_{2} {D}_{2}}/{ {W}_{2}}

⇒{200× 50}/{ {1}/{4}} = {(200+x) × 100}/{ {3}/{4}}

⇒ (200 + x) 100 = 3 × 200 × 50

⇒ 200 + x = 300

⇒ x = 300 – 200 = 100

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