Question

Man Mohan can alone do a work in 16 hours and Brij Mohan alone in 24 hours.
With the help of Munnilal they all the three can finish the work in 6 hours only.
How long will Munnilal take to do the work independently?​

Answer 1

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Answer 2

Answer: 16 Hours time will be taken by Munnilal in order to do the work independently.

Given : ManMohan can alone do a work in 16 hours and Brij Mohan alone in 24 hours.

To Find : Munnilal time taken  to do the work independently .

Step-by-step explanation:

In order to find the time taken by Munnilal we need to find the work done by each indiviual person in one hours .

Whenever any work is done, the total work itself can be taken as a whole. Therefore, we assume the total work done as one unit in the problems we encounter to simplify calculations. In other words, R and T are inversely proportional as RT = W, which is a fixed quantity.

Work done by ManMohan in one hour = $\frac{1}{16}$

Work done by BrijMohan in one hour = $\frac{1}{24}$

Let the work done by Munnilal in one hour be = $\frac{1}{x}$

Then, Work done by all worker in one hour is

$\frac{1}{16}+\frac{1}{24}+\frac{1}{x} = \frac{1}{6}$(Given that if all work together the time taken will be 6 hours)

$\frac{3+2}{48} +\frac{1}{x} = \frac{1}{6}$

$\frac{1}{x} = \frac{1}{6} - \frac{5}{48}$

$\frac{1}{x} = \frac{1}{16}$

Hence Munnilal will take 16 hours if he work alone .

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