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  • Question
  • 4 men and 6 woman get ? 1600 by doing a piece of work in 5 days. 3 men and 7 women get ? 1740 by doing the same work in 6 days. In how many days, 7 men and 6 women can complete the same work getting ? 3760?


  • Options
  • A. 6 days
  • B. 8 days
  • C. 10 days
  • D. 12 days

  • Correct Answer
  • 8 days 

    Explanation

    ? In 5 days , (4 men + 6 women ) get ? 1600.
    ? In 1 day, (4 men + 6 women) get ? 1600/5 = ? 320 ....(i)

    In 1 day number of person to get ? 1 = 320 / 4 men + 6 women ....(ii)

    Similarly, in second condition,
    In 1 day, number of person to get ? 1 = (1740 / 6) x (3 men + 7 women)
    = 290 / (3 men + 7 women) ....(iii)

    From Eqs. (ii) and (iii), we get
    320 / (4 men + 6 women) = 290 / (3 men + 7 women)
    96 men + 224 women = 116 men + 174 women
    ? 20 men = 50 women
    ? Man / Women = 5/2
    ? 1 women = 2/5 man
    From Eq. (i), 1 day,
    (4 men + 6 women) = (4 men + 6 x 2/5 men) = 32/5 men get ? 320
    ? In 1 day, 1 man get = 320 x 5 /32 = ? 50
    ? In 1 day, 1 woman get = 50 x 2/5 = ? 20
    ? In 1 day, (7 men + 6 women) get
    7 x 50 + 6 x 20 = ? 470
    ? Required number of days = 3760 / 470 = 8 days


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