60 bricklayers began a 16-day project to build a castle. After five days, five of the bricklayers quit the job. If they work the same amount each day, how many extra day (s) (beyond the original estimate of 16) will the remaining bricklayers need?

Question

Mathematics

Jaxson

9 October, 12:54

60 bricklayers began a 16-day project to build a castle. After five days, five of the bricklayers quit the job. If they work the same amount each day, how many extra day (s) (beyond the original estimate of 16) will the remaining bricklayers need?

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Answers (1)

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Leo Vaughn · Answer 1

The concept of answer this item is the man-days equation. This means that the man-days of the original plan should be equal to that of the real activity. From the given,

(60) (16) = (5) (60) + (11 + x) (60 - 5)

where x is the number of extra days that the bricklayers will still have to work to complete the job. The value of x from the equation is 1

Answer: 1