Question

Meena, Neena and Raveena can alone knit a shawl in 6, 4 and 8 hours respectively. What portion of the shawl will they knit in 1 hour, if they work together?

Answer 1

Hint: Here in this question, we have to find the total work portion of the shawl will knit in 1 hour when three workers are working together. For this, first we need to find the work done per hour of each worker then next summing all the work done of three workers by using the addition operation we get the required solution.

Complete step by step answer:
Meena, Neena and Raveena are the three workers who can knit a shawl in 6, 4 and 8 hours respectively.
We need to find a work or what portion of the shawl will they knit in 1 hour, if three workers work together.
Work Done by Meena in 1 hour = $$\dfrac{1}{6}$$
Work Done by Neena in 1 hour = $$\dfrac{1}{4}$$
Work Done by Raveena in 1 hour = $$\dfrac{1}{8}$$.
The work done by all three workers working together for 1 hour $$ = \dfrac{1}{6} + \dfrac{1}{4} + \dfrac{1}{8}$$
Take 24 as LCM, then we have
$$ \Rightarrow \,\,\,\,\dfrac{{4 + 6 + 3}}{{24}}$$
On simplification, we get
$$\therefore \,\,\,\,\dfrac{{13}}{{24}}$$
Hence, $$\dfrac{{13}}{{24}}$$ portion of the shawl will be knitted by three workers working together.

Note:
To solve this kind of problem, we have to read the sentence carefully. Remember to calculate work done in a given time in general if a person ‘A’ completes a piece of work in a ‘n’ days, then A’s one day work = $$\dfrac{1}{n}$$. Example: If a man takes 10 days to complete a piece of work, then according to the unitary method work done in one day = $$\dfrac{1}{{10}}$$.