Multiple choice

If the work done by ((p - 1)) men in ((p + 1)) days is to the work done by ((p + 2)) men in ((p - 1)) days is in the ratio 9 : 10, then the value of p is equal to

  1. 5

  2. 6

  3. 7

  4. 8

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work = Men × Days. Ratio = (p-1)(p+1) : (p+2)(p-1) = (p-1)(p+1) : (p+2)(p-1) = (p+1) : (p+2) = 9 : 10. Cross-multiplying: 10(p+1) = 9(p+2), 10p + 10 = 9p + 18, p = 8.

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