Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 36 hours. if one additional machine were used under the same operating conditions, in how many fewer hours of simultaneous operation could the production order be fulfilled? a. 6b. 9c. 12d. 27e. 48

Option B is the answer.

Step-by-step explanation:

Given is that all 3 machine works at same rate or

We get;

=>

x = 108

Now given is that the fourth machine was used with same rate that is

Total rate for 4 machines  =

=

=

This is the over all rate of four machines.

And we know that time = 1/Rate

So, time = 27 hours

Therefore, the fewer hours were hours

Option B is the answer.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.