A group of 40 workers can do a construction in 16 days. When has elapsed 4 days, 10 workers retired. How many days of delay the construction

Question

A group of 40 workers can do a construction in 16 days. When has elapsed 4 days, 10 workers retired. How many days of delay the construction will be delivered?

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Yến Oanh 7 mins 2021-07-22T19:57:51+00:00 1 Answers 0 views 0

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    2021-07-22T19:59:19+00:00

    Answer:

    4 days

    Step-by-step explanation:

    The time it would take the group of 40 workers to deliver the work, t_{estimated} = 16 days

    The number of workers that retired after 4 days = 10 workers

    Therefore, the number of workers remaining = 40 – 10 = 30 workers

    The time it would take 1 worker to do the work = The number of work days in the construction = 40 × 16 = 640 work days

    The amount of work done in 4 days = 40 × 4 = 160 work days

    The amount of work remaining after the elapsed 4 days = (640 – 160) work days = 480 work days

    The number of days, n, it would take the remaining 30 workers to do the remaining work, is given as follows;

    n = 480 work days/(30 workers) = 16 days

    The actual total number of work days it took for the work to be delivered, t_{actual} = 4 days + 16 days = 20 days

    The number of days delay the construction will be delivered, t_{delay}, is given as follows = t_{actual}

    t_{delay} = t_{actual}t_{estimated}

    t_{delay} = 20 days – 16 days = 4 days

    The number of days delay the construction will be delivered,  t_{delay} = 4 days

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