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Aptitude - Time and Work - Discussion

@ : Home > Aptitude > Time and Work > General Questions - Discussion
2. 

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

[A]. 3 : 4[B].
4 : 3
[C]. 5 : 3[D]. Data inadequate

Answer: Option B

Explanation:

(20 x 16) women can complete the work in 1 day.

1 woman's 1 day's work = 1 .
320

(16 x 15) men can complete the work in 1 day.

1 man's 1 day's work = 1
240

So, required ratio
= 1 : 1
240 320
= 1 : 1
3 4
= 4 : 3 (cross multiplied)


Sheetal said: (Tue, Aug 3, 2010 03:36:48 PM)    
 
As per the explation above, we can do the same thing by differnt manner.

It is confirmed from the question that work doen by women & men is same.

So we can write it in this way:

WORK OF WOMEN = WORK OF MEN

SO 20 WOMEN * 16 DAY = 16 MEN * 15 DAYS

SO 20*16/16*15 = MEN/WOMEN

SO RATIO IS 4:3.

Sheeta said: (Fri, Aug 13, 2010 10:31:29 AM)    
 
Thank u sheetal.......,

Sanjeetha said: (Wed, Aug 25, 2010 12:06:09 PM)    
 
thank u

Srinivasareddy said: (Tue, Aug 31, 2010 07:26:29 PM)    
 
Sheetal your explanation is too good.

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