Multiple choice

‘X’ and ‘Y’ can do a piece of work in 24 days and 32 days respectively. They begin together but 4 days before the completion of the work, ‘X’ leaves off. Find the total number of days for the work to be completed.

  1. 12 days

  2. 14 days

  3. 8 days

  4. 15 days

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

Let total time = T days. X works for (T-4) days at 1/24 per day, Y works for T days at 1/32 per day. Equation: (T-4)/24 + T/32 = 1. Solving: 4(T-4) + 3T = 96, giving 7T - 16 = 96, so T = 16 days. The answer should be 16 days, but since this isn't among options A-D, 'None of these' is indeed correct.

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