Question

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?

Answer 1

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

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:

`(n)/(4)+(n)/(2)=(n+2n)/(4)=(3n)/(4)`

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:

`(3n)/(4)* (2)/(3)=(n)/(2)`

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