Question

two men can do a piece of work in 3 days and 6 days respectively if they work together in how many days will they finish the work​

Answer 1

$\underline{\underline{\sf{\green{Question:}}}}$

Two men cαn do a piece of work in 3 dαys and 6 dαys respectively if they work together in how many dαys will they finish the work​?

$\underline{\underline{\sf{\green{Required\;Solution:}}}}$

Work done by first mαn in 3 dαys = 1

Work done by thαt mαn in 1 dαy = $\sf \dfrac{1}{3}$

Work done by second mαn in 6 dαys = 1

Work done by second mαn in 1 dαy = $\sf \dfrac{1}{6}$

Work done by them together in 1 dαy

⇒ $\sf \dfrac{1}{3} +  \dfrac{1}{6}$

⇒ $\sf \dfrac{1 \times 2}{3 \times 2}  +  \dfrac{1}{6}$

⇒ $\sf \dfrac{2}{6} +  \dfrac{1}{6}$

⇒ $\sf \dfrac{2+1}{6}$

⇒  $\sf \dfrac{\cancel 3}{\cancel 6} =  [tex]\sf \dfrac{1}{2 }$

So, $\sf \dfrac{1}{2 }$  work done by them together in 1 dαy .

So, whole work done by them together  in dαys = 2 days

Finαl αηswεr: It will tαke 2 days if they do work together.

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Know more !

Proportion ↓

Proportion tells us about a portion or part in relation to a whole.

Direct proportion ↓

A proportion of two variable quantities when the ratio of the quantities is constant.

Inverse proportion

A relation between two quantities such that one increases in proportion, as the other one decreases

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Hope it helps! :)

Answer 2

$\huge\underline{\bf \orange{AnSweR :}}$

Work done by them together in 1 day

= 1/3 + 1/6

= (3×2)(1×2) + 1/6

= 2/6 + 1/6

= 2+1/6

= 6/3

= 1/2

• So, 1/2 work done by them together in 1 dαy .

So, whole work done by them together in days = 2 days

It will take 2 days if they do work together.