You are in charge of a crew that inspects cars. Each car takes approximately 1/2 hour for 1 person to inspect. The normal crew h

Question

2 months ago

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You are in charge of a crew that inspects cars. Each car takes approximately 1/2 hour for 1 person to inspect. The normal crew h

as 10 people, but this crew is missing 2 people. If you have 320 cars that need to be inspected, how many hours will each of the inspectors need to work?

Mathematics

1 answer:

Inessa [12.5K] · Answer 1 · 2026-02-16T12:28:24+03:00

Answer:

Each inspector MUST work 20 hours to complete the review of 320 cars.

Step-by-step explanation:

To inspect one car, the time taken is 1/2 hour, or 0.5 hours.

Originally, there are expected to be 10 crew members.

However, 2 crew members are ABSENT.

This leaves a total of 8 crew members available for the task.

For the 320 cars needing inspection, each taking 0.5 hours:

Thus, the total time required to inspect all 320 cars equals 320 x 0.5 = 160 hours.

Therefore, a total of 160 hours is necessary to inspect all 320 cars.

Given that there are 8 inspectors now available.

$\implies \textrm{The number of hours each inspector needs to work} = \frac{\textrm{Total working hours needed}}{\textrm{Toal number of inspectors}} \\= \frac{160}{8} = 20$

Consequently, each inspector MUST work 20 hours to review 320 cars.