Sixty men working on a construction job have done 1/3 of the work in 18 days. The project is behind schedule and must be accomplished in the next twelve days. How many more workers need to be hired?

where did you get 54? ty

Each person accomplishes 1/3÷(60*18) of the project, 1/3240 per person per day.

To finish 2/3 of the project in 12 days,
Total number of workers need
=2/3 ÷ (12*(1/54)
=(2/3)*(3240/12)
=180
Therefore 120 more workers are needed.

120 or 180? :)

Therefore 120 more workers are needed.

Thanks :)

You're welcome!

To find out how many more workers need to be hired, we need to calculate the work rate of the current workers and then determine how many workers are needed to complete the remaining work within the given timeframe.

First, let's find the work rate of the current workers. We know that 60 men have done 1/3 of the work in 18 days. This means that the work rate of each worker is:

(1/3 work) / (60 men * 18 days) = 1 / (3 * 60 * 18) = 1 / 3,240

Now, let's calculate the amount of work that needs to be completed in the remaining 12 days. Since 1/3 of the work is already done, the remaining work is:

1 - 1/3 = 2/3

To complete 2/3 of the work in 12 days, we divide the remaining work by the number of days:

(2/3 work) / 12 days = 2 / (3 * 12) = 2 / 36 = 1 / 18

Now, let's determine the number of workers needed to complete this amount of work. We know that each worker has a work rate of 1/3,240. So the number of workers needed is:

(1 / 18) / (1 / 3,240) = (1 / 18) * (3,240 / 1) = (1 * 3,240) / (18 * 1) = 180 / 18 = 10

Therefore, to complete the remaining work within the given time frame, 10 more workers need to be hired.