Machine a and machine b can produce 1 widget in 3 hours working together at their respective constant rates. if machine a's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. how many hours does it currently take machine a to produce 1 widget on its own?

Machine A take 6 hours to produce 1 widget on its own.

Step-by-step explanation:

Consider the provided information.

Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates.

Let Machine A takes 'x' hours to produce 1 widget.

Thus, in every hour it will produce th of widget.

Similarly Machine B takes 'y'  hours to produce 1 widget.

In every hour it will produce th of widget.

If both machine work together they can  produce 1 widget in 3 hrs.

Therefore, work done by A and B together in 1 hour is:

......(1)

If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates.

......(2)

Subtract equation 1 from equation 2.

Hence, machine A take 6 hours to produce 1 widget on its own.

i believe that the slope of the line is -5

step-by-step explanation: