A big city automobile quick oil change store can process 20 vehicles per hour over its multiple bays. Each mechanic can change the oil and do other related tasks at a rate of one car every 20 minutes. If the center wanted a target labor utilization of 90%, how many mechanics would they require?
A) More than 4 but less than or equal to 6
B) More than 6 but less than or equal to 8
C) More than 8 but less than or equal to 10
D) More than 10

Question

Quizplus · Accepted Answer

Given that the store can process 20 vehicles per hour and each mechanic can service one car every 20 minutes (which equates to 3 cars per hour per mechanic), to find the number of mechanics needed, we divide the total cars per hour by the rate per mechanic: 20 cars/hour / 3 cars/hour/mechanic = 6.67 mechanics. To achieve a target labor utilization of 90%, we need more than 6 but cannot work with fractions of a person, so rounding up, we need more than 6 but less than or equal to 8 mechanics to not exceed the target utilization too much.

A Big City Automobile Quick Oil Change Store Can Process