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

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A faulty clock is set to the correct time at 12:00 noon. If [#permalink] New post 16 Jul 2003, 17:00
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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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 [#permalink] New post 16 Jul 2003, 18:39
Answer = 12.

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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 [#permalink] New post 16 Jul 2003, 22:10
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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 [#permalink] New post 16 Jul 2003, 22:16
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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 [#permalink] New post 16 Jul 2003, 22:29
so, actually 60 minutes gained, not 65.
but why? where is a mistake in my reasoning?
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 [#permalink] New post 16 Jul 2003, 22:30
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
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 [#permalink] New post 16 Jul 2003, 22:37
:crying
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Here is the Problem [#permalink] New post 17 Jul 2003, 06:37
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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 [#permalink] New post 17 Jul 2003, 10:18
Thats is what a GAIN is. Same as a percentage INCREASE.
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 [#permalink] New post 24 Jan 2004, 10:32
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
  [#permalink] 24 Jan 2004, 10:32
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A faulty clock is set to the correct time at 12:00 noon. If

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