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.

Ganesh said:   5 years ago
Why Cross multiplied in the last step? Please explain.

Priya said:   8 years ago
@Vijaya.

Your explanation is too simple. Thank you.

Ramesh said:   1 decade ago
the last step of the sheetal explanation seems wrong

Vikas said:   2 decades ago
Thanks Sheetal, it is very understandable solution.

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

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

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

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

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

Rupika said:   9 years ago
Please, tell me why it is 4:3 not 3:4?


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