Question

Ram and Hari can finish a piece of work in 6 days and 12 days respectively in how many days will they finish it working together

​

Answer 1

4 days

Step-by-step 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 =
`(1)/(6)`

1 day work of Hari done in =
`(1)/(12)`

If they work together,

1 day work of both together done in =
`(1)/(6)` +
`(1)/(12)` =
`(2 + 1)/(12) = (3)/(12)` =
`(1)/(4)`

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 =
`(1)/(4)`

⇒ Total work done in 4 days if they work together.