6th Class Mathematics Related to Competitive Exam Question Bank Time and Work

  • question_answer
    A piece of work can be done by 16 men in 8 days working 12 hours a day. How many men are needed to complete another work, which is three times the first one, in 24 days working 8 hours a day?

    A) 20                   

    B)          24

    C) 30                   

    D)          33

    Correct Answer: B

    Solution :

        Using the formula, \[\frac{{{M}_{1}}{{D}_{1}}{{H}_{1}}}{{{W}_{1}}}\,=\frac{{{M}_{2}}{{D}_{2}}{{H}_{2}}}{{{W}_{2}}}\] Let \[{{W}_{1}}=x\] and \[{{W}_{2}}=3x\]. \[{{M}_{1}}=16,\,\,{{H}_{1}}=12,\,{{D}_{1}}=8\] \[{{H}_{2}}=8,\,{{D}_{2}}=24\] \[\therefore \,\,\frac{16\times 8\times 12}{x}=\frac{{{M}_{2}}\times 24\times 8}{3x}\] \[\Rightarrow \,{{M}_{2}}=24\].


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