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Pat's watch gains an extra 10 seconds every 2 hours. Kim's [#permalink]
24 Mar 2013, 09:47
3
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
45% (medium)
Question Stats:
60% (02:09) correct
40% (00:50) wrong based on 116 sessions
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?
Re: Pat's watch gains an extra 10 seconds every 2 hours. Kim's [#permalink]
24 Mar 2013, 09:53
2
This post received KUDOS
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.
Re: Pat's watch gains an extra 10 seconds every 2 hours. Kim's [#permalink]
24 Mar 2013, 13:39
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") _________________
Pat's watch gains an extra 10 seconds every 2 hours. Kim's [#permalink]
14 Jul 2014, 22:17
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. _________________
Pat's watch gains an extra 10 seconds every 2 hours. Kim's [#permalink]
15 Jul 2014, 01:46
Expert's post
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.
Re: Pat's watch gains an extra 10 seconds every 2 hours. Kim's [#permalink]
23 Aug 2015, 00:52
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