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Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses

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megafan
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Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   24 Mar 2013, 10:47
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Pat’s watch gains an extra 10 seconds every 2 hours. Kim’s watch loses 5 seconds every 3 hours. If both watches are set to the correct time at 8 o’clock in the morning and run without interruption, after 72 hours, what will be the difference in time between Pat’s watch and Kim’s watch?

(A) 4 min

(B) 6 min

(C) 6 min 40 sec

(D) 7 min 30 sec

(E) 8 min

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E
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   24 Mar 2013, 10:53
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In 72 hours Pat's watch will gain 360 seconds, since in 2 hours it gains 10 seconds, that means in 1 hour 5 seconds and in 72 hours 72*5 seconds, i.e. 360 seconds or 6 mins.
Kim's watch loses 5 seconds in 3 hours, in 72 hours it will loose 72/3 * 5 = 24*5 = 120 seconds = 2 mins.
Total difference 6 - (-2, it lost 2 mins ) = 6 + 2 = 8 mins.

Please give a kudo if you like my explanation.
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   24 Mar 2013, 11:11
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First we have to bring everything to the same scale, to make life easier:

\(10 sec ->2h = 5 sec -> 1h\)
\(5 sec->3h = \frac{5}{3}sec->1h\)

Pat's watch will gain a total of \(5 sec * 72 h = 360 sec\)
Kim's watch will lose a total of\(5/3 sec * 72 h = 120 sec\)

<----------------|-------------------->
(-120sec)----- 0------------( +360 sec)

tot distance = \(120+360=480 sec = 8 min\)

E
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   24 Mar 2013, 14:39
This is how I solved this..

10s/2h, 72/2 -> 36 (and then the /h value x10) -> 36x10 = 360. Go on with /6 -> 6min
5s/3h, 72/3 -> 24 (and then the /h value x5) -> 36x5 = 120. Go on with /6 -> 2 (sine it's a loss it's -2)

-2 to 6 = 8, hence E (I did not get it right first since I personally missed the "loss")
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   Updated on: 12 Nov 2014, 11:57
Bunuel,

This question is using a kind of Relative velocity fundamental, but is put forward in a different manner. Opposite speeds do add up in relative calculations.

Originally posted by honchos on 14 Jul 2014, 23:17.
Last edited by honchos on 12 Nov 2014, 11:57, edited 4 times in total.
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   15 Jul 2014, 02:46
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honchos wrote:
Bunuel,

Can you Please solve this question.


Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 72 hours, what will be the difference in time between Pat's watch and Kim's watch?

(A) 4 min

(B) 6 min

(C) 6 min 40 sec

(D) 7 min 30 sec

(E) 8 min

In 72 hours Pat's watch will gain an extra 72/2*10 = 360 seconds.

In 72 hours Kim's watch will lose 72/3*5 = 120 seconds.

Hence the difference will be 360 + 120 = 480 seconds or 8 minutes.

Answer: E.

Hope it helps.
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   07 Jan 2017, 11:35
megafan wrote:
Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 72 hours, what will be the difference in time between Pat's watch and Kim's watch?

(A) 4 min

(B) 6 min

(C) 6 min 40 sec

(D) 7 min 30 sec

(E) 8 min


watch P gains 5 sph
watch K loses 5/3 sph
5+5/3=20/3 sph
72 h*20/3 sph=480 s
480 s/60 spm=8 min
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   01 Feb 2017, 02:46
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megafan wrote:
Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 72 hours, what will be the difference in time between Pat's watch and Kim's watch?

(A) 4 min

(B) 6 min

(C) 6 min 40 sec

(D) 7 min 30 sec

(E) 8 min


In every 6 hours, Pat GAINS (10 + 10 +10) = 30 seconds

In every 6 hours, Kim LOSES (5 + 5) = 10 seconds or "GAINS" (-10) seconds

In every 6 hours, the time difference ==> 30 - (-10) = 40 seconds

In 72 hours, time difference ==> 72hrs/6hrs * 40 seconds = 480 seconds or 8 minutes

(E)
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   21 May 2018, 05:34
megafan wrote:
Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 72 hours, what will be the difference in time between Pat's watch and Kim's watch?


(A) 4 min

(B) 6 min

(C) 6 min 40 sec

(D) 7 min 30 sec

(E) 8 min


Pat's watch = 2 hrs ---- 10 seconds addition

72 hours ---- 360 seconds gain

Kim's watch ---- 3 hrs --- 5 seconds loss

72 hours ---- 120 seconds loss

Difference = 360 - ( - 120)

= 480/60

8 minutes
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   21 May 2018, 22:56
Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 72 hours, what will be the difference in time between Pat's watch and Kim's watch?

Pat:
After 72 hours i.e after 36 intervals, PAT's watch would have gained 6 minutes [ 10 seconds every 2 hours , so in 36 intervals , 360 seconds]

Kim:
Loses 5 seconds every 3 hours. In 72 hours i.e loses 5 seconds 24 times , that is equal to 2 minutes.

Pat's clock gains 6 minutes and kim's watch loses 2 minutes.

So time difference between watches is 8 Minutes

Ans: E
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   22 May 2018, 17:38
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megafan wrote:
Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 72 hours, what will be the difference in time between Pat's watch and Kim's watch?

(A) 4 min

(B) 6 min

(C) 6 min 40 sec

(D) 7 min 30 sec

(E) 8 min


Pat’s watch gains 10 x 72/2 = 10 x 36 = 360 seconds in 72 hours.

Kim’s watch loses 5 x 72/3 = 5 x 24 = 120 seconds in 72 hours. We have to consider this as -120 since it’s the number of seconds lost.

Thus, the difference is 360 - (-120) = 480 seconds = 8 minutes.

Answer: E
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink] New post   09 Jan 2024, 22:58
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Re: Pats watch gains an extra 10 seconds every 2 hours. Kims watch loses [#permalink]
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