A factory produces 1500 widgets per hour. Due to increasing demand, the factory decides to increase production by 20%. How many widgets will be produced after the increase, and what is the difference between the original and increased production rates?
First, let's calculate the increase in production. We know that the factory currently produces 1500 widgets per hour and wants to increase production by 20%:

Increase in production = Current production rate * Percentage increase
                                      = 1500 widgets/hour * 0.20
                                      = 300 widgets/hour

Now, we can find the new production rate by adding the increase to the original production rate:

New production rate = Current production rate + Increase in production
                                = 1500 widgets/hour + 300 widgets/hour
                                = 1800 widgets/hour

The difference between the original and increased production rates is simply the increase in production:

Difference = Increase in production
                   = 300 widgets/hour

So, after the increase, the factory will produce 1800 widgets per hour, which is a difference of 300 widgets per hour compared to the original production rate.