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?

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Answer:

Each inspectors NEEDS to work 20 hours in order to review 320 cars.

Step-by-step explanation:

The amount of time taken to inspect 1 car = 1/2 hr = 0.5 hr

The total people in crew are supposed to be 10

But 2 people are MISSING.

So, the total number of present people in crew = 10 - 2=  8

The total number of cars to be inspected  = 320 cars.

Since each car takes 0.5 hour to be reviewed.

So, the time required to review 320 cars =  320 x 05  = 160 hours.

So, the total hours needed to inspect all 320 cars = 160 hours

Now,as there are total 8 crew members.

[tex]\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[/tex]

Hence , each inspectors NEEDS to work 20 hours in order to review 320 cars.

Answer:

Each of the inspectors needs to work [tex]20[/tex] hours to inspect [tex]320[/tex] cars.  

Explanation:

Given:

Each car takes approximately [tex]1/2[/tex] hour for [tex]1[/tex] person to inspect

Number of people in the normal crew [tex]=10[/tex]

Missing people [tex]=2[/tex]

Number of cars that need to be inspected [tex]=320[/tex]

Step 1:

Number of people in crew [tex]=10-2=8[/tex]

Total time taken to inspect the [tex]320[/tex] cars [tex]= 320\times 0.5=160[/tex] hours

There are total [tex]8[/tex] persons.

The time taken by each inspector [tex]=160/8= 20[/tex] hours.

Therefore, each of the inspectors needs to work [tex]20[/tex] hours to inspect [tex]320[/tex] cars.

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