Factory

[adota]

Machine A and Machine B work in the same factory. Machine A can produce 45 widgets in one hour and Machine B can produce 40 widgets in one hour. During one week, Machine B worked five more hours than Machine A but produced the same number of widgets as Machine A. How many hours did Machine A work that week?

[Jim56]

Machine A refused to work overtime and only did his 40.

[Donald Cartmill]

 Machine A worked 40 hours.   45x = 40(x + 5 );   45x = 40x +200.; 5x = 200 ;x = 40

[Adhi india]

Yes...

He is right.

if machine B worked 5 hours more,it means that it worked 200 hours more to keep up with machine A. i.e. machine A overtook by 200 hours...

 

Each hour both the machines works, machine A overtakes machine B by 5 hours... To overtake by 200 hours machine A has to work (200/5)= 40 hours