Eight workers dug 3/8 of a tunnel in 10 days. If they need to finish the remaining 5/8 of the tunnel

Discussion in 'Calculator Requests' started by math_celebrity, Nov 25, 2022.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Eight workers dug 3/8 of a tunnel in 10 days. If they need to finish the remaining 5/8 of the tunnel in 3 & 1/3 days, how many more workers must they hire?

    Eight workers * 10 days = 80 days for one worker

    If 3/8 of a tunnel took 80 days for one worker, then each 1/8 of a tunnel takes a single worker:
    80/3 = 26 & 2/3 days

    Multiply by 5 for the remaining 5/8 and we get:
    133 & 1/3

    We need 133 & 1/3 / 3 & 1/3 = 40 workers needed

    Additional workers = Workers Needed - Original Workers
    Additional workers = 40 - 8
    Additional workers = 32
     

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