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# A faulty clock is set to the correct time at 12:00 noon. If

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Eternal Intern
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A faulty clock is set to the correct time at 12:00 noon. If [#permalink]

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16 Jul 2003, 18:00
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A faulty clock is set to the correct time at 12:00 noon. If the clock gains 5 minutes per hour, what is the correct time when the faulty clock indicates that 13 hours have passed?

Explanations , needed!
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16 Jul 2003, 19:39

Clock time. Actual time

1:05 - 1
2:10 - 2
3:15 - 3
4:20 - 4
5:25 - 5
6:30 - 6
7:35 - 7
8:40 - 8
9:45 - 9
10:50 - 10
11:55 - 11
13:00 - 12
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16 Jul 2003, 23:10
13*5=65 minutes gained in total

12+13=25, so the clock shows 1:00 of the next day
Yet, we have to subtract the gained time of 1 hour and 5 minutes

Minus 1 hour = midnight
minus 5 minutes = 23:55 that is the correct time
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16 Jul 2003, 23:16
stolyar wrote:
13*5=65 minutes gained in total

12+13=25, so the clock shows 1:00 of the next day
Yet, we have to subtract the gained time of 1 hour and 5 minutes

Minus 1 hour = midnight
minus 5 minutes = 23:55 that is the correct time

KSS is correct. His simple table shows how the two clocks move together. Also, since the fast clock is moving 13/12 times that of correct time. In 12 hours, the faulty clock will show 13 hours.
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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
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16 Jul 2003, 23:29
so, actually 60 minutes gained, not 65.
but why? where is a mistake in my reasoning?
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16 Jul 2003, 23:30
The actual time that went by is 12, not 13 hours. Hence, you gain 12*5 = 60 minute for an "apparent" elapsed time of 13 hours.
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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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16 Jul 2003, 23:37
Eternal Intern
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17 Jul 2003, 07:37
I thought when it said gain; it meant only five minutes passed by an hour. I think ETS should have worded; the faulty clock gained an additional five minutes per hour instead of a gain of five minutes per hour.
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17 Jul 2003, 11:18
Thats is what a GAIN is. Same as a percentage INCREASE.
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AkamaiBrah
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24 Jan 2004, 11:32
In one Hr ( 60 Mins ) the gain is 5 minutes so after N hrs or N * 60 minutes the gain will be N * 5 minutes. So

N*60 + N*5 = 13 * 60
65 * N = 13 * 60
N = 13 * 60 / 65 = 12 Hrs
24 Jan 2004, 11:32
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