Aptitude - Chain Rule - Discussion

Discussion Forum : Chain Rule - General Questions (Q.No. 14)
14.
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
12
18
22
24
None of these
Answer: Option
Explanation:

Let the required number of days be x.

Less men, More days (Indirect Proportion)

27 : 36 :: 18 : x       27 x x = 36 x 18

x = 36 x 18
27

x = 24.

Discussion:
14 comments Page 2 of 2.

Davinder said:   1 decade ago
please give exoplanation fully.........
i am agree with snehal

Hary said:   1 decade ago
Snehal,.

Here we cannot cross multiply like this.

Because, No of men is inversely proportional to no of days.

So, No of men is directly proportional to 1/no of days.

We should write it as.

No of men=k/no of days.

36 = k / 18 ------- (1).

27 = k / ? ------- (2).

Dividing (1) and (2).

36/27 = ?/18.

? = 36*18/27.

No of days = 24.

Snehal said:   1 decade ago
But if we do it like this,

36 men - 18 days.

27 men - ?.

By cross multiplication, the answer will be different.

Robert said:   1 decade ago
Give the explanation fully.


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