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.
Sravan reddy said:
6 years ago
1 man can complete work in 320 days.
Whereas 1 woman can complete work in 280 days.
So work done by 1 man in 1 day is 1÷320.
Work done by 1 woman in 1 day is 1÷240.
1÷320:1÷240 = 240:320 = 3:4.
We can conclude this by saying women have more ability to do work.
Whereas 1 woman can complete work in 280 days.
So work done by 1 man in 1 day is 1÷320.
Work done by 1 woman in 1 day is 1÷240.
1÷320:1÷240 = 240:320 = 3:4.
We can conclude this by saying women have more ability to do work.
Ganesh said:
5 years ago
Why Cross multiplied in the last step? Please explain.
Akash kumar said:
5 years ago
M1 * D1 = M2 * D2.
20*16 = 16*15,
4 = 3,
4:3.
20*16 = 16*15,
4 = 3,
4:3.
(7)
Joel said:
4 years ago
Women = 20 * 16 = 240,
Men = 16 * 15 = 320,
Men/women=320/240 = 4/3.
Ratio = 4:3.
Men = 16 * 15 = 320,
Men/women=320/240 = 4/3.
Ratio = 4:3.
(7)
Maths said:
3 years ago
Why is it not 3:4 as m:w is 16*15/16*20? Please explain this.
GURUAKASH S M said:
2 years ago
Work done by one woman in a day = Total work/(Number of women * Number of days).
= 1/(20 * 16).
Work done by one man in a day = Total work/(Number of men * Number of days).
= 1/(16 * 15).
The ratio of man's capacity to woman's capacity = (1/(16 * 15))/(1/(20 * 16)).
Simplifying the expression, we get:
The ratio of man's capacity to woman's capacity = (20 * 16)/(16 * 15).
= 20/15,
= 4/3.
Therefore, the ratio between the capacity of a man and a woman is 4:3.
= 1/(20 * 16).
Work done by one man in a day = Total work/(Number of men * Number of days).
= 1/(16 * 15).
The ratio of man's capacity to woman's capacity = (1/(16 * 15))/(1/(20 * 16)).
Simplifying the expression, we get:
The ratio of man's capacity to woman's capacity = (20 * 16)/(16 * 15).
= 20/15,
= 4/3.
Therefore, the ratio between the capacity of a man and a woman is 4:3.
Sam said:
2 years ago
20 women ---> 16 days.
20 women ---> 1/16 work in one day.
1 woman ---> 1/ (16*20) in one day.
In the same way,
16 men---> 15 days.
16 men---> 1/15 work in one day.
1 man---> 1/ (15*16) in one day.
To calculate the ratio,
1/ (15*16) : 1/(16*20).
By cancelling 16 on both sides and cancelling 15 and 20 as 3 and 4.
1/3:1/4.
Cross multiply we get;
4:3.
20 women ---> 1/16 work in one day.
1 woman ---> 1/ (16*20) in one day.
In the same way,
16 men---> 15 days.
16 men---> 1/15 work in one day.
1 man---> 1/ (15*16) in one day.
To calculate the ratio,
1/ (15*16) : 1/(16*20).
By cancelling 16 on both sides and cancelling 15 and 20 as 3 and 4.
1/3:1/4.
Cross multiply we get;
4:3.
(1)
Vijaya lakshmi said:
2 years ago
(20w) 16:(16m) 15.
By Cancellation: We get 4:3.
By Cancellation: We get 4:3.
(3)
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.
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)
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