Latest L&T Aptitude Question SOLUTION: 12 men can complete any work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only the women were to complete t

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(#M40156513) L&T Numerical Ability question Keep an EYE

12 men can complete any work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only the women were to complete the remaining work in 4 days, then how many women would be required?
1) 60
2) 74
3) 68
4) 75
5) 70

Asked In L&T ABHINAV PUSHPAM (7 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

Devendra Marghade  (7 years ago)

5) 70

1 Man, 1 Day work=1/(12*36)
1 Woman, 1 Day work=1/(18*60)
So 8 men and 20 women's 20 days work= 20[ 8/(12*36) + 20/(18*60) ] =20/27
Remaining work= 7/27
If remaining work is to be completed by 'x' women in 4 days, then 4*x/(18*60)= 7/27
=> x=(7*18*60)/(27*4)=70

Is this solution Helpfull? Yes (9) | No (1)  

BHARAT KUMAR  (7 years ago)

Answer
(5) 70

Is this solution Helpfull? Yes | No (2)  

yatin arora  (6 years ago)

12/man can complete work in 36 days 1 man work = 1/(36*12)
18/ women in 60 days
1 woman work = 1/(60*18)
both worked for 20 days ..
1 days work (8 man +20 woman) = 1/54+1/54= 1/27;
hence 20 days work = 20/27;
total work =1;
work left =1-20/27;
hence 7/27 work left will be completed by (n)womens in 4 days is
(4 *n)/18*60 = 7/27
n = 70

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