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Pat's watch gains an extra 10 seconds every 2 hours. Kim's [#permalink]
24 Mar 2013, 09:47

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

61% (01:56) correct
39% (00:49) wrong based on 82 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

1

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. _________________

Re: 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.

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