Discussion :: Time and Work
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In how many days can 10 women finish a work?
I.10 men can complete the work in 6 days.
II.10 men and 10 women together can complete the work in 337days.
III.If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days.
Answer : Option A
Explanation :
I. (10 x 6) men can complete the work in 1 day.
1 man's 1 day's work = 160
II. [10∗247]men+[10∗247] women can complete the work in 1 day.
[2407] men's 1 day work +[2407] women's 1 day work = 1
[2407 x 160] +[2407] women's 1 day's work = 1
[2407]women's 1 day's work =[1-47] =37
10 women's 1 day's work =[ 37x7240x 10] =18 |
So, 10 women can finish the work in 8 days.
III. (10 men's work for 3 days) + (10 women's work for 4 days) = 1
(10 x 3) men's 1 day's work + (10 x 4) women's 1 day's work = 1
30 men's 1 day's work + 40 women's 1 day's work = 1
Thus, I and III will give us the answer.
And, II and III will give us the answer.
Correct answer is (A)
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