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:
61 comments Page 5 of 7.

Haseeb said:   1 decade ago
Take it very simple.

Apply the basic rule of ratio:

A:B=1/240:1/320.

Now (1/240)/(1/320).

By solving:
(1/240)*(320/1)
=320/240
=4/3 i.e. 4:3.

Gurpreet singh said:   1 decade ago
Very simple
As per question 20Women*16=16men*15
Men:women=(16*20)/(15*16)=4:3

Shabana said:   2 decades ago
i hav an other way as
20 women take 16days
so, 1 women take 16/20 = 4/5 days
similarly ,16 men take 15 days
so , 1 man take 15/16 days
therefore 4/5 * 15/16 = 3/4 = 4:3

Zeeshan said:   2 decades ago
thank you sheetal !!!

Vishnu said:   2 decades ago
i cant understand that how tis ratio comes and inverse of men and women

Vijaya said:   2 decades ago
20*16 : 16*15
cancel 16 on both sides then
20 : 15
cancel with 5
then ans is 4:3

Shweta Swarup said:   2 decades ago
sheetal ur explanation is very very good, i really liked it.
thank u so much, u helped me a lot.

Shweta Swarup said:   2 decades ago
sheetal ur explanation is very very good, i really liked it.
thank u so much, u helped me a lot.

Sekar said:   2 decades ago
i doesnt know how uconvert theratio 1/240:1/320 to 4:3 pls tell how to convert

Ramesh said:   2 decades ago
the last step of the sheetal explanation seems wrong


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