abdul_shabeer
A clock gains 2 minutes per day and another loses 3 minutes per day. Both the clocks are started on a correct time at a given instant. They will again show the correct time for an instant within
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abdul_shabeer
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(a) a week (b) a month
(c) six months (d) one year
GT
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I tried this before but could not formulate the equation. hmmmm....
14yamaka
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wait, is this a digital clock? like is it 12 hours or 24 hours we're going for?
abdul_shabeer
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I think 12 hours clock
14yamaka
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one of the easier ways would be is to multiply to figure out the total number of minutes there are in the 12 hours and divide it by 5.
14yamaka
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Each day, the clocks have gain a 5-minute gap between each other, so how big does the gap have to be to become 12 hours :)
fewscrewsmissing
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I would say... 720 minutes per 12 hours, so the 2 minutes clock will be accurate again in 720/2/2 days = 180 days, the -3 minutes clock in 720/3/2 = 120 days. LCM of 180 and 120 is 360, so once a year?
fewscrewsmissing
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But it's late here so my ability to reason left hours ago =)
FoolForMath
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Yes once a year is the correct answer.
GT
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I think that is right......
abdul_shabeer
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Yes, it matches the answer key
GT
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Good way to set it up.
14yamaka
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oooohhh ok:) its 1:25 in the morning here :S lol
fewscrewsmissing
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Haha where are you 14yamaka? It's 12:25am here.
14yamaka
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japan haha
FoolForMath
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As we are giving away our local time it's 9:55 PM here.
14yamaka
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Where are you FSM?
14yamaka
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and where are you Fool?
abdul_shabeer
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I think FFM is in India
FoolForMath
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I am from India and FSM is from Australia.
fewscrewsmissing
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Ah tis but early for you FFM :-P
I'm in Perth, Australia.
amir.sat
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after 3600 days
fewscrewsmissing
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3600 days = 10 years o.O
14yamaka
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whoa, that's 10 years
abdul_shabeer
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Why the 2 minutes clock will be accurate again in 720/2/2 days?
amir.sat
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2 minute clock after 1800 days
3 minute clock after 1200 days
abdul_shabeer
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Is it 1800 or 180?
amir.sat
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1800
fewscrewsmissing
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I've shown my reasoning above, I got 180 days. I don't know HOW it could be 1800 or 1200 days, can you elaborate amir.sat?
fewscrewsmissing
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So...?