SSC Quantitative Aptitude Time And Work Question Bank Work and Time (II)

  • question_answer
      15 men take 20 days to complete a job working 8 h a day. The number of hours a day should 20 men take to complete the job in 12 days, is/are

    A) 5 h

    B) 10 h

    C) 15 h

    D) 18 h

    Correct Answer: B

    Solution :

    [b] \[{{M}_{1}}=15,\]\[{{D}_{1}}=20,\]\[{{H}_{1}}=8\] \[{{M}_{2}}=20,\]\[{{D}_{2}}=12,\]\[{{H}_{2}}=?\] Using the formula, \[{{M}_{1}}{{D}_{1}}{{H}_{1}}={{M}_{2}}{{D}_{2}}{{H}_{2}}\] \[15\times 20\times 8=20\times 12\times {{H}_{2}}\] \[{{H}_{2}}=\frac{15\times 20\times 8}{20\times 12}=10\,\text{days}\]


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