Question

A factory produced widgets. yesterday, the factory only operated 5 hours due to machine malfunction, and they only produced 145 widgets. Today, the factory will produce 42 widgets per hour. If the factory manager wants the factory to produce widgets at an average rate of at least 37 widgets per hour, then what is the minimum number of hours that the factory must operate today to compensate for yesterday’s machine malfunction
A. 5
B. 9
C. 8
D. 6

Answer 1

Calculate the total widgets produced yesterday: 145 widgets in 5 hours = 29 widgets per hour
2 Find the difference needed to reach the average rate: 37 - 29 = 8 widgets per hour
3 Determine the additional hours needed: 8 widgets / 42 widgets per hour = 0.19 hours
4 Convert 0.19 hours to minutes: 0.19 hours * 60 minutes = 11.4 minutes
5 Since the factory cannot operate for partial hours, the factory must operate for at least 1 additional hour