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?
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 |
|
||||||
|
|||||||
| = 4 : 3 (cross multiplied) |
Discussion:
59 comments Page 6 of 6.
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.
Why not 1/320:1/240?
It will give us reverse answer as 3:4 which is the 1st option.
Sagarika said:
2 decades ago
Though here there is no error but there is a shortcut:
The method is as follows
20w -> 16d
16m -> 15d
w:m=20:16=4:5 i.e., according to number of w and m
w:m=16:15 i.e., according to num of days they take
Then the ratio between m amd w according to their capacity will be
= (16:15 :: 4:5)
= 16/4 : 15/3
= 4:3
This could be done because the ratio of capacity is always reverse of number of days taken.
The method is as follows
20w -> 16d
16m -> 15d
w:m=20:16=4:5 i.e., according to number of w and m
w:m=16:15 i.e., according to num of days they take
Then the ratio between m amd w according to their capacity will be
= (16:15 :: 4:5)
= 16/4 : 15/3
= 4:3
This could be done because the ratio of capacity is always reverse of number of days taken.
Vikas said:
2 decades ago
Thanks Sheetal, it is very understandable solution.
SrinivasaReddy said:
2 decades ago
Sheetal your explanation is too good.
Sanjeetha said:
2 decades ago
Thank you.
Sheeta said:
2 decades ago
Thank you Sheetal!
SHEETAL said:
2 decades ago
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.
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.
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