2026 · Q14
X can do a piece of work in 4 days and Y can do the same piece of work in 6 days. Which of the following statements is/are correct?
- IIf X and Y work alternately starting with X, then the piece of work will be finished on the fifth day.
- IIIf X and Y work alternately starting with Y, then the piece of work will be finished in less than 5 days. Select the answer using the code given below:
Elementary MathematicsTime and Work
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
X and Y do 1/4 and 1/6 of the work per day. Starting with X, after 4 days 5/6 is done and X finishes the rest on day 5, so statement I is correct. Starting with Y, after 4 days 5/6 is again done and Y needs exactly its 1/6 share on day 5, so the work finishes on (not before) day 5 and statement II is incorrect. Only I is correct, option A.