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70 workers can make a railway compartment in 60 days. After 20 days 30 workers left the work, now how much time will it take to complete the compartment after leaving?

70 workers can make a railway compartment in 60 days. After 20 days 30 workers left the work, now how much time will it take to complete the compartment after leaving? Correct Answer 70 days

Given,

The number of days taken by 70 workers = 60 days

The number of workers left after 20 days = 30

Concept used,

If someone completes work in x days

∴ Work done in 1 day = 1/x

Calculation

Let it takes X days to complete the compartment after leaving.

70 workers make a compartment in 60 days.

The number of compartment made by 70 workers in one day = 1/60

Number of compartment made by one worker in one day = 1/(60 × 70)

According to the problem,

Work done  by 70 workers in 20 days + Work done by 40 workers in X days = 1

⇒ 20 × (1/60) + X × 40 × {1 / (60 × 70)} = 1

⇒ 1/3 + 2X/210 = 1

⇒ 2X/210 = 1 – 1/3

⇒ 2X/210 = 2/3

⇒ X = 70

∴ Required number of days is 70

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