If 200 men can make an embankment 3km long in 25 days, how much overtime per day must 60 men work to complete an embankment 2km long in 32 days, 12 hours being a day's work?

Each man would have to work 7.2 overtime hours per day if they wanted to meet the goal.

Step-by-step explanation:

If 200 men can make a 3 km long embankment in 25 days, their work day being 12 hours, to determine the amount of work that each one does, the following calculation must be made, taking into account that 3 km is the same at 3,000 meters:

3000/25 = 120 meters per day

120/200 = 0.6 meters per day per man

0.6 / 12 = 0.05 meters per hour worked per man

Therefore, to determine the extra work time that 60 men should carry out, if they wanted to complete a 2 km long embankment in 32 days, the following calculation should be performed:

2000/32 = 62.5 meters per day

62.5 / 60 = 1.04 meters per day per man

1.04 / 12 = 0.08 meters per hour worked per man

Therefore, that difference of 0.03 meters must be taken into account to determine the extra time of work that these men must carry out, carrying out the following cross multiplication:

0.05 = 12

0.08 = X

((0.08 x 12) / 0.05) = X

(0.96 / 0.05) = X

19.2 = X

Therefore, each man would have to work 7.2 overtime hours per day if they wanted to meet the goal.

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