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Algebra

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Joined: 4 Jul 2009
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4 Jul 2009 16:46:25 IST
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an author started writing a book in between 2p.m to 3p.m. He wrote exactly for 4 hrs and finished so
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an author started writing a book in between 2p.m to 3p.m. He wrote exactly for 4 hrs and finished somewhere in between 6p.m to 7p.m. he found that by that time the hands of the clock interchanged their positions from the time he started writing. at time exactly did he start and finished writing


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Sarthak's Avatar

Blazing goIITian

Joined: 21 Aug 2007
Posts: 385
4 Jul 2009 17:08:06 IST
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I dont think this is possible,if he wrote for exactly four hours.


When he starts,the short hand has to be between 2 and 3,and when he finishes,it has to be between 6 and 7.


Since the hands are interchanged,the long hand has to be initially between 6 and 7,and end up between 2 and 3.


But since he wrote exacty for 4 hours,the long hand should come back to its exact minute after the 4 hrs.


 

Sylar's Avatar

Forum Expert
Joined: 1 Jun 2009
Posts: 78
6 Jul 2009 23:33:03 IST
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well, I guess the ques should have said about 4 hours!!! then we may have a solution!

Case 1:

if the hour hand is between 2 and 3... and the minute hand b/w 6 and 7,

then the hour hand should be between 2nd and 3rd div between 2 and 3!......(1)

Case 2:

if the hour hand is between 6 and 7... and the minute hand b/w 2 and 3,

then the hour hand should be between 1st and 2nd div between 6 and 7!......(2)

that gives us an approx start time of 2:31 PM and finish at 6:12 PM

 

PS: forget brainstorming for a while...just get two clocks and play...u'll get the soln straightaway!!! ;)




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