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At Car Part Corporation, there is a machine that produces brake pads.

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At Car Part Corporation, there is a machine that produces brake pads.  [#permalink]

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New post 20 Mar 2020, 01:49
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At Car Part Corporation, there is a machine that produces brake pads. As the machine works, a wheel assembly turns. After the wheel assembly turns 4.09× 10^6 times, the machine needs maintenance. Since being installed, the machine has received maintenance 30 times. Approximately how many total turns had the wheel assembly made when the machine last received maintenance?

A. 1.3 × 10^5
B. 1.2 × 10^7
C. 1.2 × 10^8
D. 4.1 × 10^7
E. 7.0 × 10^8


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Re: At Car Part Corporation, there is a machine that produces brake pads.  [#permalink]

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New post 20 Mar 2020, 08:46
every service is done at 4.09*10^6 times of turns
so at 30th service the machine must have run ;
4.09*10^6*30 ; ~1.2*10^8
IMO C


Bunuel wrote:
At Car Part Corporation, there is a machine that produces brake pads. As the machine works, a wheel assembly turns. After the wheel assembly turns 4.09× 10^6 times, the machine needs maintenance. Since being installed, the machine has received maintenance 30 times. Approximately how many total turns had the wheel assembly made when the machine last received maintenance?

A. 1.3 × 10^5
B. 1.2 × 10^7
C. 1.2 × 10^8
D. 4.1 × 10^7
E. 7.0 × 10^8


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Re: At Car Part Corporation, there is a machine that produces brake pads.  [#permalink]

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New post 20 Mar 2020, 14:41
It asks about the number of turns since the last maintenance. It obviously has to be less than 4.09× 10^6. Hence A
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Re: At Car Part Corporation, there is a machine that produces brake pads.  [#permalink]

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New post 21 Mar 2020, 05:39
swarnabh47 wrote:
It asks about the number of turns since the last maintenance. It obviously has to be less than 4.09× 10^6. Hence A


Hi,

The question asks "when" and not "since" so the right answer will be till the time of the last maintenance.
So, the correct answer will be 4.09 * 10^6 * 30 = 12.27 * 10^7 = 1.2 * 10^8
Hence the correct option is C.
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Re: At Car Part Corporation, there is a machine that produces brake pads.  [#permalink]

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New post 21 Mar 2020, 08:00
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Solution



Given
In this question, we are given that
    • At Car Part Corporation, there is a machine that produces brake pads.
    • As the machine works, a wheel assembly turns.
    • After the wheel assembly turns 4.09× 10^6 times, the machine needs maintenance.
    • Since being installed, the machine has received maintenance 30 times.

To find
We need to determine
    • Approximately how many total turns had the wheel assembly made when the machine last received maintenance?

Approach and Working out
For each maintenance, the wheel assembly turns \(4.09 * 10^6\) times.
Hence, for 30 maintenances, total number of wheel assemble turns = \(30 * 4.09 * 10^6 = 3 * 4.09 * 10^6 * 10 = 12.27 * 10^7 = 1.227 * 10^8\)

Thus, option C is the correct answer.

Correct Answer: Option C
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Re: At Car Part Corporation, there is a machine that produces brake pads.   [#permalink] 21 Mar 2020, 08:00

At Car Part Corporation, there is a machine that produces brake pads.

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