Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 25)
25.
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?
3 : 4
4 : 3
5 : 3
Data inadequate
Answer: Option
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)

Discussion:
59 comments Page 3 of 6.

Raj said:   1 decade ago
Its very simple. See that:

20*16 = 320. work done by women.

16*15 = 240. work done by men.

Ratio = 320/240 = 4/3. Answer.

Nilu said:   10 years ago
As per question:

20W = 16 days and 16M = 15 days.

So W = 16/20 and M = 15/16.

So M/W = 15/20 = 3/4.

So ratio is 4:3.

M.Dineshkumar said:   2 decades ago
Ok what you saying is 100% right Jananipriya. Then why we have to do cross multiple work as they given in last step.

Jananipriya.P. said:   2 decades ago
Since the ratio has been asked between man and woman which is 1/240, 1/320 per day respectively. That is it Pavan.

Pavan said:   2 decades ago
Why we take 1/240:1/320?

Why not 1/320:1/240?

It will give us reverse answer as 3:4 which is the 1st option.

Srikanth alladi said:   10 years ago
Ratio of man and woman is asked here, but not woman and man. So the answer will be 3:4 (option A).

Shweta Swarup said:   1 decade ago
sheetal ur explanation is very very good, i really liked it.
thank u so much, u helped me a lot.

Shweta Swarup said:   1 decade ago
sheetal ur explanation is very very good, i really liked it.
thank u so much, u helped me a lot.

Chandana said:   8 years ago
20w can take 16 days.

If 16w-----can take 20 days,
16m can take 15 days(given).
so 20:15.
4:3.

Gurpreet singh said:   1 decade ago
Very simple
As per question 20Women*16=16men*15
Men:women=(16*20)/(15*16)=4:3


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