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 2 of 6.
Newbie said:
1 decade ago
^^ We do 20*16 & 16*15 because of the below logic:
It's given that 20W can do the work in 16 days. Going by this, 1W would be able to do the work in 16*20 days. Similarly, for one man, the work can be completed in 15*16 days. But then to find the capacity, you have to take the inverse, it's just like speed & time relation (the ratio of speed & time are reverse).
Hence, we write it as,
M:W = 1/240 : 1/320 = 1/3:1/4 = 4:3
@Dinesh: I feel if the fraction form is given a one of the answers then even that can be marked as the correct answer. But it's common practice to convert any answer into the simplest form & a fraction's not that.
It's given that 20W can do the work in 16 days. Going by this, 1W would be able to do the work in 16*20 days. Similarly, for one man, the work can be completed in 15*16 days. But then to find the capacity, you have to take the inverse, it's just like speed & time relation (the ratio of speed & time are reverse).
Hence, we write it as,
M:W = 1/240 : 1/320 = 1/3:1/4 = 4:3
@Dinesh: I feel if the fraction form is given a one of the answers then even that can be marked as the correct answer. But it's common practice to convert any answer into the simplest form & a fraction's not that.
Ramesh said:
1 decade ago
the last step of the sheetal explanation seems wrong
Sekar said:
1 decade ago
i doesnt know how uconvert theratio 1/240:1/320 to 4:3 pls tell how to convert
Shweta Swarup said:
1 decade ago
sheetal ur explanation is very very good, i really liked it.
thank u so much, u helped me a lot.
thank u so much, u helped me a lot.
Shweta Swarup said:
1 decade ago
sheetal ur explanation is very very good, i really liked it.
thank u so much, u helped me a lot.
thank u so much, u helped me a lot.
Vijaya said:
1 decade ago
20*16 : 16*15
cancel 16 on both sides then
20 : 15
cancel with 5
then ans is 4:3
cancel 16 on both sides then
20 : 15
cancel with 5
then ans is 4:3
Vishnu said:
1 decade ago
i cant understand that how tis ratio comes and inverse of men and women
Zeeshan said:
1 decade ago
thank you sheetal !!!
Shabana said:
1 decade 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
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
Gurpreet singh said:
1 decade ago
Very simple
As per question 20Women*16=16men*15
Men:women=(16*20)/(15*16)=4:3
As per question 20Women*16=16men*15
Men:women=(16*20)/(15*16)=4:3
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