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 1 of 6.

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)

Joel said:   4 years ago
Women = 20 * 16 = 240,
Men = 16 * 15 = 320,
Men/women=320/240 = 4/3.
Ratio = 4:3.
(7)

Akash kumar said:   5 years ago
M1 * D1 = M2 * D2.
20*16 = 16*15,
4 = 3,
4:3.
(7)

Vijaya lakshmi said:   2 years ago
(20w) 16:(16m) 15.
By Cancellation: We get 4:3.
(3)

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)

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.
(1)

Priya said:   8 years ago
@Vijaya.

Your explanation is too simple. Thank you.

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.

Vikas said:   8 years ago
I can't understand this, please explain.

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.


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