2024 · Q62
A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : In how many days can A, B and C together finish the work?
Statement IA and B together can finish the work in 24 days
Statement IIB and C together can finish the work in 36 days Which one of the following is correct in respect of the above Question and the Statements?
Elementary MathematicsTime and Work
- AThe Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question cannot be answered even by using both the Statements together
Explanation
Statement I gives the combined rate 1/24 per day for A+B; statement II gives 1/36 per day for B+C. These are two equations in the three unknowns (A's, B's, C's daily rates). Since A+B+C cannot be pinned down, the time for all three together is undetermined even with both statements — option D.