Question

Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 8 days?

Answer 1

3 machine

Explanation:

It is given that 6 machine each working at the same rate can complete the work in 12 days

We the has to complete in 8 days

Let we need x extra machine to complete the work in 8 days

So total number of machines =x+6

Now according to man work day equation
`M_1D_1=M_2D_2`

`6* 12=(x+6)* 8`

`8x+48=72`

`8x=24`

x=3 machine