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 2 of 6.

Pari said:   1 decade ago
20 women = 1/16 work.
Therefore 1 woman = 1/16*20 please do not multiply and waste time.
16 men = 1/15 work.

Therefore 1 man = 1/15*16.
Man : woman = 1/15*16/1/16*20 = 16*20/15*16.

Answer : 4/3.

Udhay Helen said:   7 years ago
Formula: M1 H1 D1 = M2 H2 D2.
M (men, women, children).

So 20women * 16 days = 16 men * 15days,
20*16=16*15,
320 = 240 ( we get ),
4 = 3 ( after simplified).
So, 4:3.

Rohini said:   1 decade ago
Given,
20 women = 1/16 ,16 men = 1/15.

Women = 1/16*20 = 1/320.
Men = 1/15*16 = 1/240.

Man:women = 1/240 :1/320.

= 1/3 : 1/4.
= 4:3 (since 1/3/1/4 =1/3 * 4/1 = 4/3 =4:3).

Shabana said:   1 decade ago
i hav an other way as
20 women take 16days
so, 1 women take 16/20 = 4/5 days
similarly ,16 men take 15 days
so , 1 man take 15/16 days
therefore 4/5 * 15/16 = 3/4 = 4:3

Karthick said:   7 years ago
30 women can do a work in 15 days. 15 men can complete the same work in 20 days. What is the ratio between the capacity of a man and a woman?

Can Anyone solve this?

Alex said:   6 years ago
It should be option A.

Men:women=240:320.
=3:4.
Here, the question is asking the ratio for men and women, but not for women and men.
(2)

Alex said:   6 years ago
It should be option A.
Men:women = 240:320.
=3:4.
The question is asking the ratio for men and women, but not for women and men.

FUKRA YADAV said:   2 years ago
Its very simple,

WOMEN = 20 * 16 = 240.
MEN = 16 *15 = 320.
MEN/WOMEN =320/240 =4/3 (used 80's table).
RATIO = 4 : 3..

Hope this helps.
Thanks.
(13)

Prabhat said:   1 decade ago
Please make clear how comes ratio 4:3 instead 3:4 as asked men and women ratio i.e. 240:320. In my opinion it would be 3:4. Is it so or not?

Vinod Anand said:   1 decade ago
If 1 W = 1/320 (1 W = 1/20*16 and 1M = 1/16*15 ).

1 M = 1/240.

Than the Ratio is = 320 : 240.

= 4:3 Answer. Option (B).


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