5 machines, working 6 hours a day, can produce 300 units in 3 days. How many hours a day must 10 machines work to produce 300 units in 1 day?

Question: 5 machines, working 6 hours a day, can produce 300 units in 3 days. How many hours a day must 10 machines work to produce 300 units in 1 day?

Solution:
5 machines, working 6 hours a day, can produce 300 units in 3 days
Formula used: M1 × T1 = M2 × T2
Where M1 and M2 is machines and T1 and T2 is time

Let H hours be the number of hours required
Applying the above formula
⇒ 5 × 6 × 3 = 10 × 1 × H
⇒ 90 = 10H
⇒ H = 90/10
⇒ H = 9 hours
∴ 10 machines need to work 9 hours to complete the work in 1 day.