On the application of fraction in Mathematics It is known that the new method can complete the task that the common method can complete in 2 hours. If the two methods are used independently, how many hours can they complete the task?

On the application of fraction in Mathematics It is known that the new method can complete the task that the common method can complete in 2 hours. If the two methods are used independently, how many hours can they complete the task?

Let's use the ordinary method to complete x every hour,
Because the new method work 2 hours can complete the common method work 4 hours
So with the new method, we can do 2x per hour
So x * 6 + 2x * 2 = 1 / 2
So x = 1 / 20
That is, it can be completed by working alone for 20 hours in the ordinary way
It can be completed by working alone for 10 hours with the new method