Aptitude - Time and Work - Discussion
Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.
8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work? | |
I. | 19 men and 12 women together can complete the work in 18 days. |
II. | 16 men can complete two-third of the work in 16 days. |
III. | In 1 day, the work done by three men in equal to the work done by four women. |
Clearly, I only gives the answer.
Similarly, II only gives the answer.
And, III only gives the answer.
Correct answer is (D).
Similarly let y be the work done by 1 woman in 1 day.
So according to the problem , the eq is :
3(8x+14y)+d(3x+6y)=1.
where d is the no of additional days required to finish the work.
Now we have 3 unknowns:x, y, d.
Statement 1 gives us the eq: 18(19x+12y)=1.
Statement 2 gives us the eq: 16*x*16=1.
Statement 3 gives us the eq: 3x=4y.
Thus to solve the problem statements 3 and 1 or 3 and 2 are required.
But no such option is there in the question.
Because it gives the relation between the rate of men versus women.