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Question

1. A number of bacteria are placed in a glass. One second later each bacterium divides in two, the next
second each of the resulting bacteria divides in two again, et cetera. After one minute the glass in full. When
was the glass half-full?

Posted by: pranav kumar in Olympiad{RMO+INMO+IMO} 8 years ago, Total Answer(s): 5

Answer(s)

The glass  half filled at hte time 59th second. after this time half of the glass  will increse to full.

By: Mohammed Yasir E, 8 years ago

as the glass is full in the 60th second

the glass half filled at 59th second.

By: sudheer, 8 years ago

59th second

By: Himanshu Sagar, 8 years ago

the answer will be 59th second.

consider this question with total duration of 4 sec rather than 60 sec and then fin as follows

after 1 sec-2

after 2 sec-4

after 3 sec-8

after 4sec-16

so, total no. of bacteria after 4 sec. will be 32

and it's half is 16 .now 2+4+8. at the 3rd second

By: aman, 8 years ago

59th second as the glass is full at the verge of the 60th second , the glass will be half filled bythe 59th second as the bacteria double every second.

 

By: Priyatam Roy, 8 years ago

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