Each of two generators produces energy at a constant rate, but the two rates are different. one of the generators produces n units of energy in 4 hours, and the other generator produces the same amount of energy in half the time. what fraction of n units of energy will be produced by both generators if they work simultaneously for 40 minutes?

The amount of energy generate by the generators if they work simultaneously for 40 minutes is 1/2.

Step-by-step explanation:

Consider the provided information.

One of the generators produces n units of energy in 4 hours, and the other generator produces the same amount of energy in half the time.

Let the total hours = n

The first generator produces energy in 1 hr = n/4

The first generator produces energy in 1 hr = n/2

Total energy is:

Total time taken is 40 mins. Now convert 40 minutes into hours:

40/60 = 2/3 hr

Now to find the amount of energy generate by the generators if they work simultaneously for 40 minutes is:

Hence, the amount of energy generate by the generators if they work simultaneously for 40 minutes is 1/2.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,