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 5 of 6.

Priya said:   8 years ago
@Vijaya.

Your explanation is too simple. Thank you.

Sam said:   7 years ago
=> 20women, 15men,
=> 20:15,
=> 20/15=4/3,
=> 4:3.

Manoj said:   7 years ago
We can easily find out the answer for this question by reverse thinking.

Take an option A.
Divide 16 by 3 it can't. We can't Divide it exactly. So it is not an answer.

Take option B.
Divide 16 by 4 and 15 by 3 hence it is the answer.

Aniket said:   7 years ago
3:4 is the correct use formula M1D1/W1 = M2D2/W2.

Saroj said:   7 years ago
Here is a simple solution.

20 women do it in 16 days,
16 men do the same in 15 days,
So as the work is the same 20X16 : 16X15,
or that comes to 20:15 as the 16 is common in both the sides.
20:15 ratio is 4:3. done.

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?

Aruna said:   7 years ago
@Karthick.

The Answer is 3:2.

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.

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.

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)


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