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?

Respuesta :

Answer:

3 machine

Step-by-step 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 [tex]M_1D_1=M_2D_2[/tex]

[tex]6\times 12=(x+6)\times 8[/tex]

[tex]8x+48=72[/tex]

[tex]8x=24[/tex]

x=3 machine

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