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  • Question
  • 5 boys and 3 girls can together cultivate a 23 acre field in 4 days and 3 boys and 2 girls together can cultivate a 7 acre field in 2 days. How many girls will be needed together with 7 boys, if they cultivate 45 acres of field in 6 days?


  • Options
  • A. 4
  • B. 3
  • C. 2
  • D. 1

  • Correct Answer


  • Explanation

    Let workdone 1 boy in 1 day be b

    and that of 1 girl be g

    From the given data,

    4(5b + 3g) = 23

    20b + 12g = 23 .......(a)

     

    2(3b + 2g) = 7

    6b + 4g = 7 ........(b)

     

    Solving (a) & (b), we get

    b = 1, g = 1/4

     

    Let number og girls required be 'p'

    6(7 x 1 + p x 1/4) = 45

    => p = 2.

     

    Hence, number of girls required = 2

  • Tags: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO

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