Hi, is there a way to solve this question without painstakingly writing out the entire schedule?
In a factory, machine A operates on a cycle of 20 hours of work followed by 4 hours of rest, and machine B operates on a cycle of 40 hours of work followed by 8 hours of rest. Last week, the two machines began their respective cycles at 12 noon on Monday and continued until 12 noon on the following Saturday. On which days during that time period was there a time when both machines
were at rest?
Indicate all such days.
A) Monday
B )Tuesday
C) Wednesday
D) Thursday
E) Friday
F) Saturday
I struggled to calculate using equations and then it became a huge time sink writing out by hand.