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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 has 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?20 hours16 hours32 hours40 hours

Question

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 has 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?20 hours16 hours32 hours40 hours

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Solution

To solve this problem, we need to follow these steps:

  1. Determine the number of inspectors: The normal crew has 10 people, but this crew is missing 2 people. So, we have 10 - 2 = 8 inspectors.

  2. Determine the total time needed to inspect all cars: Each car takes approximately 1/2 hour for 1 person to inspect. So, for 320 cars, it would take 320 * 1/2 = 160 hours in total.

  3. Determine the time each inspector needs to work: The total time needed is 160 hours, and we have 8 inspectors. So, each inspector needs to work 160 / 8 = 20 hours.

So, the answer is 20 hours.

This problem has been solved

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