45 men can complete a work in 16 days. Six days after they started working, 30…

2024

45 men can complete a work in 16 days. Six days after they started working, 30 more men joined them. In how many days the total work will be completed ?

  1. A.

    12

  2. B.

    8

  3. C.

    15

  4. D.

    14

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Show answer & explanation

Correct answer: A

Solution: 1

We have been given that 45 men can complete the work in 16 days.

Hence product of men and days required to complete the task = 45 × 16

= 720

We have 45 men working for 6 days, hence number of man-hours completed = 45 × 6

= 270

Hence remaining men hours = 720 – 270

= 450

Now, we got 30 more men

Hence number of men working now = 45 + 30

= 75

Now, number of days required = 450/75

= 6

Hence total number of days required = 6 + 6

= 12

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