Multiple choice

Ram takes 10 days less than the time taken by Shyam to finish a piece of work.If both Ram and Shyam can do it in 12 days, then how much time will be taken by Shyam alone to finish the same work ?

  1. 30 days

  2. 40 days

  3. 25 days

  4. 24 days

  5. 20 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Shyam take x days. Ram takes (x-10) days. Combined rate: 1/x + 1/(x-10) = 1/12. Solving: (2x-10)/(x²-10x) = 1/12, so 12(2x-10) = x²-10x, giving x²-34x+120=0. (x-30)(x-4)=0, so x=30 (rejecting x=4 as x-10 would be negative). Shyam takes 30 days alone. Option A is correct.

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