Question

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

Answer 1

in 2 days they will complete the whole work

Answer 2

Answer:

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

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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