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If 36 men can do a certain piece of work in 25 days, then 15 men will do it in
A. 60 days
B. \[10\dfrac{{15}}{{36}}days\]
C. 40 days
D. 50 days

Answer
VerifiedVerified
588k+ views
Hint: This is a typical problem of the unitary method, using the given data first try to get how many days will be needed for 1 man to do the same amount of work then we can just divide it with 15 to get the required value.

Complete step-by-step answer:
So we are given that 36 men can do a certain piece of work in 25 days
Which means that 1 man can do the same piece of work in \[36 \times 25days\]
Now from here we can clearly see that we just have to find that in how many days, the same work can be done by 15 men combinedly.
For that \[\dfrac{{36 \times 25}}{{15}}days\]
And this will become
\[\begin{array}{l}
 = \dfrac{{12 \times 25}}{5}days\\
 = 12 \times 5days\\
 = 60days
\end{array}\]

So, the correct answer is “Option A”.

Note: Normally in unitary method for finding how much can be done by 1 unit we usually divide but in these cases by dividing we will have \[\dfrac{{25}}{{36}}\] which is less than 1 itself and it is not possible practically so we multiply in such cases for getting the unit and then just divide with whatsoever given in the question.