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'A' works in 2 shifts of 8 hours each, one in day time & other in night. The efficiency at night is 50% more than at day. If A completed a work in 30 days by working in day shift then in how many days A will complete it in night shift?

'A' works in 2 shifts of 8 hours each, one in day time & other in night. The efficiency at night is 50% more than at day. If A completed a work in 30 days by working in day shift then in how many days A will complete it in night shift? Correct Answer 20

Given:

Efficiency of A at night is 50% more than at day time.

A completed a work in 30 days.

Concept used:

Total work = (Efficiency × No. of days × No. of hours per day)

Calculations:

Let the efficiency of A in day time and night time be 2x and 3x respectively.

Let the no. of days taken by A to complete the same work in night shift be 'D'.

Compare total work

(30 days) × (8 hours) × (2x) = (D days) × (8 hours) × (3x)

D = 20 days

∴  The time taken by A to complete the same work in night shift is 20 days.

 

Topper's Approach:

Efficiency is inversly proportional to Time

Ratio of efficiency is 2 ∶ 3 ⇒ Ratio of time is 3 ∶ 2.

3 = 30 days.

∴ 2 = 20 days.

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