Question

An experienced computer technician can set up a network in 12 hours. It would take an intern 20 hours to set up the same network. If they work together, how long will it take to set up the network?

I need to know how to find the rate that they work

I need to know how long it will take if they work together

Answer 1

The time taken will be the reciprocal multiplied by the network. In this case, it will take approximately 7.5 hours for them to set up the network together.

Step-by-step explanation:

To find the rate at which the experienced computer technician and the intern work, we need to calculate the rates for each of them. The technician sets up the network in 12 hours, so his rate is 1/12 of the network per hour.

The intern takes 20 hours, so his rate is 1/20 of the network per hour. When they work together, their rates are combined, so the equation becomes (1/12 + 1/20) of the network per hour.

To find the time it will take for them to set up the network together, we need to calculate the reciprocal of the combined rate and multiply it by the network. So the time is 1 divided by (1/12 + 1/20), which is approximately 7.5 hours.

Answer 2

It would be: 1/20+1/12 = 3+5 / 60 = 8/60 = 4/30 = 2/15 = 7.50 hours

so, your answer is 7.50 hours