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    28 men can complete a piece of work in 15 days and 15 women can complete the same piece of work in 24 days. What is the respective ratio between the amount of work done done by 30 men in 1 day and the amount of work done by 18 women in 1 day

  • 4:7
  • 9:15
  • 3:5
  • None of these
  • 2:6
  • Explanation:

    28 men can do a work in 15 days.

    Work done by 28 men in 1 day = 1/15

    Work done by 1 man in 1 day = 1/15×28

    Work done by 30 men in 1 day = 30 /15×28 = 1/24

    15 women can do a work in 24 days 

    Work done by 15 women in 1 day  = 1/24

    Work done by 1 woman in 1 day = 1/15×24

    Work done by 18 women in 1 day 

    =18/24×15 = 1/20

    ∴ Required ratio = 1/14:1/20 

    =10:7