Question

If 36 men can do a piece of work in 24 days, then 16 men will do the same work in how many day.

please tell step by step ​

Answer 1

Step-by-step explanation:

Less Men, means more Days {Indirect Proportion}

Let the number of days be x

then,

27 : 36 :: 18 : x

[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]

\begin{aligned}

x = \frac{36*18}{27} \\

x = 24

\end{aligned}

So 24 days will be required to get work done by 27 men.

Answer 2

If 36 men can finish a piece of work in 25 days, how many days will 15 men take to do it?

Answer

6

Given, 36 men can finish a piece of work in 25 days

=> The number of man-days = 36*25 = 900

Let x be the number of days taken by the 15 men to do the piece of work

=> The number of man-days = 15x

But the number of man-days remains constant.

=> 15x = 900

x = 900/15 = 60

=> 15 men take 60 days to complete the piece of work

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