Multiple choice

If the work done by (x – 2) men in (x + 4.5) days and the work done by (x + 9) men in (x – 2) days are in the ratio 11 : 20, then the value of x is equal to:

  1. 2.5

  2. 1

  3. 0.9

  4. 0.5

  5. None of the above
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B Correct answer
AI explanation

Assuming each man does one unit of work per day, the work done is the product of the number of men and the number of days. This gives the equation ((x minus 2)(x plus 4.5)) divided by ((x plus 9)(x minus 2)) equals 11 divided by 20. Canceling the common term (x minus 2) and cross-multiplying yields 20(x plus 4.5) equals 11(x plus 9), so 20x plus 90 equals 11x plus 99. Solving this gives 9x equals 9, which means x equals 1.

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