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Algebra Level 1

The San Francisco Department of Motor Vehicles is open from 8am to 4:30pm. There are 12 lines that are open for the entirety of those hours. Assume that each line can process 8 people an hour, how many people can be processed in a working day?


The answer is 816.

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8 solutions

Victor Carnaúba
Aug 4, 2013

8.5 hour x 12 lines x 8 persons per hour= 816

8.5hour x 12lines x 8people/hour=816

RETHINA SABAPATHY - 7 years, 10 months ago
Zach Olson
Aug 9, 2013

X= 8 1/2 * 12 * 8

8 1/2 = working hours

Mohit Garg
Aug 11, 2013

In 1 hour 1 line process 8 people. So, in 1 hour 12 line process people = 12X8 =96 So, in 8.5 hour people process by 12 lines = 96X8.5 answer = 816

Davi Costa
Aug 10, 2013

16:30 - 8:00 = 8,5 h

8 pessoas/h * 8,5 h * 12 = 816

Lewis Tough
Aug 4, 2013

The time between 8 am and 4:30 pm is 8 hours 30 minutes, or 8 1/2 hours. Since the 12 lines process 8 people an hour, 96 people are processed each hour. So, 96 is multiplied by 8 1/2 to give the number processed each day, which is 816.

John Errol Obia
Aug 8, 2013

To get people processed in a working day, first find the time of work 16:30-8:00=8 1/2 hours Since each hour, they process 8 persons with 12 lines that are open = 8 1/2 * 12 * 8 =816 people

Kshitij Johary
Aug 6, 2013

The Department is open from 8 a m 8 am to 4 : 30 p m 4:30 pm i.e., for 8 8 and 1 / 2 1/2 hours.

Now, there are 12 12 lines and each line can process 8 8 people in an hour. This means that it can process ( 8 × 12 8 \times 12 = ) 96 96 people in an hour.

So, in 8 8 and 1 / 2 1/2 hours, it can process ( 8.5 × 96 8.5 \times 96 = ) 816 816 people.

Joshua Crouch
Aug 4, 2013

There are 12 lines and each line can process 8 people in an hour. 8 * 12=96

They can process 96 people an hour. There are 8 and a half hours in a working day.

8.5 * 96=816

816 people can be processed in one working day.

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