Sport1 min ago
Time to get a new clock?
A clock was correct at midnight then it began to lose 3.5 minutes per hour - it ran for less than 24 hours. It stopped 2 hours ago showing 16.57 - what time is it now?
Answers
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The clock had stopped after it had run for 16 hours and 57 minutes as recorded on the faulty clock. That translates to (16 x 60) +57= 1017 minutes according to the faulty clock.
The faulty clock recorded 56.5 minutes for every 60 minutes in normal time. So the 1017 minutes on this clock is actually 1017 x 60/56.5=1080 minutes on a normal clock.
1080 minutes =...
The faulty clock recorded 56.5 minutes for every 60 minutes in normal time. So the 1017 minutes on this clock is actually 1017 x 60/56.5=1080 minutes on a normal clock.
1080 minutes =...
09:16 Mon 05th Dec 2011
The clock had stopped after it had run for 16 hours and 57 minutes as recorded on the faulty clock. That translates to (16 x 60) +57= 1017 minutes according to the faulty clock.
The faulty clock recorded 56.5 minutes for every 60 minutes in normal time. So the 1017 minutes on this clock is actually 1017 x 60/56.5=1080 minutes on a normal clock.
1080 minutes = 18 hours. So the clock stopped at 6pm in real time. That was 2 hours ago so it's now 8pm
The faulty clock recorded 56.5 minutes for every 60 minutes in normal time. So the 1017 minutes on this clock is actually 1017 x 60/56.5=1080 minutes on a normal clock.
1080 minutes = 18 hours. So the clock stopped at 6pm in real time. That was 2 hours ago so it's now 8pm
factor30 is right. let me try to put it slightly differently:-
it is now 16:57 which means that it has been running for 1017 minutes since midnight when it was correct
it loses 3.5 minutes per hour so that for every hour in real time it will only progress by 56.5 minutes
therefore for it to have progressed by 1017 minutes will take 1017/56.5 =18 hours
but it stopped 2 hours hour ago so that it is now 18+2 hours after midnight i.e. 8pm
it is now 16:57 which means that it has been running for 1017 minutes since midnight when it was correct
it loses 3.5 minutes per hour so that for every hour in real time it will only progress by 56.5 minutes
therefore for it to have progressed by 1017 minutes will take 1017/56.5 =18 hours
but it stopped 2 hours hour ago so that it is now 18+2 hours after midnight i.e. 8pm
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