Timework34
- A
If A started the work on the first day followed by B and c, then the work will be finished on the 10th day.
- B
If B started the work on the first day followed by C and A, then the work will be finished on the 11th day.
- C
If C started the work on the first day followed by A and B, then the work will be finished on the 11th day.
- D
None of these
- Option : C
- Explanation : I. Work done by A, Band C together in 3 days
work is
left of which A will finish 6/48 th of work on
10th day and B will finish remaining work on 11th day.
Thus, I is false
II. Work done by A, B, C together in 9 days = 39/48
Work left = 1 - (39/48) = 9/48 th of the whole.
On the 10th day B will finish 1/12 th of the whole.
∴ work left = (9/48) - (1/12) = 5/48 th of the whole.
On 11th day C will finish 1/16 th of the work
∴ work left = (5/48) - (1/16) = 2/48 th of the whole
which will be done by A on the 12th day.
Thus, work will be finished on the 12th day.
Thus, II is false.
III. Work done by A, Band C in 9 days = 39/48
Work left after 9 days = 1 - (39/48) = 9/48 th of the whole
On the tenth day 1/16 th will be finished by C.
∴ work left = (9/48) - (1/16) = 6/48 th of the whole,
which will be finished by A on the eleventh
day. Thus, III is true.
