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    Question

    100 workers working 8 hours a day can dig a canal 2000

    metres long in 25 days. Find the number of workers required to dig a similar canal of 2800 metres long in 32 days working 5 hours a day.
    A 170 Correct Answer Incorrect Answer
    B 180 Correct Answer Incorrect Answer
    C 175 Correct Answer Incorrect Answer
    D 165 Correct Answer Incorrect Answer

    Solution

      the total man-hours for the first canal= 100 workers × 8 hours/day × 25 days = 20000 man-hours For 2000 meters, rate = 20000 man-hours/ 2000 meters = 10 man-hours per meter. the total man-hours for the second canal= 2800 meters × 10 man-hours/meter   = 28000 man-hours Find the number of workers required- W x 5 hours/day × 32 days = 28000 man-hours 160W= 28000 W =28000/160 W=175

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