Question:

175 men can dig a canal 3150m long in 36days.how many men are required to dig a canal 3900m long in 24days?

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it is a compound ratio problem

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  1. 325 men will be required to dig a canal of 3900 m length in 24 days.


  2. 3900/3150*36/24*175=325men

  3. in 325 days

    total man day=175*36

    wark per man day=3150/175*36

                                = 0.5

    so let  x man needed

       x*24=3900*1/0.05

            x=325

  4. First we need to figure out how much a single man can dig in one day:

    3150m / 36days / 175men = 0.5m/(man day)

    So for every man on site, they can dig 0.5m per day.

    Now if we want to dig 3900m in 24 days we would use this value to find number of men required:

    3900m / 24 day / 0.5m/(man day) = 325 men

    Therefore, it would take 325 men to dig a 3900m long canal in 24 days.

  5. 325 men

  6. Men              Length              Days

    175               3150 m            36

      ?                  3900 m            24

    (175 x 3900 x 36) / (3150 x 24) = 325 men

    .     .     .     .     .     .     .     .==============

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