Answer:
4 days
Explanation:
Given - Ram and Hari can finish a piece of work in 6 days and 12 days
respectively.
To find - In how many days will they finish it working together
Proof -
As given,
Ram and Hari can finish a piece of work in 6 days and 12 days respectively.
⇒1 day work of Ram done in = [tex]\frac{1}{6}[/tex]
1 day work of Hari done in = [tex]\frac{1}{12}[/tex]
If they work together,
1 day work of both together done in = [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{12}[/tex] = [tex]\frac{2 + 1}{12} = \frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]
As we know Work is inversely proportional to efficiency
And efficiency = Person's 1 day work
As we have ,
1 day work of both together done in = [tex]\frac{1}{4}[/tex]
⇒ Total work done in 4 days if they work together.
