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08 Oct 2014, 16:29
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A very literal solution...
One minute <-------------|---------------|---------------->
************************** 14-24 **********36-44*************
Segment at which darkness will intercede 5 seconds
Time between 15+9+15 = 13/20
& Closest answer is 3/4.....
One minute <-------------|---------------|---------------->
************************** 14-24 **********36-44*************
Segment at which darkness will intercede 5 seconds
Time between 15+9+15 = 13/20
& Closest answer is 3/4.....
04 Feb 2018, 08:35
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I approached this question as if the length of a minute is the length of a rope. Let's say we have a length of a rope-60cm. And every 20cm, there is a cut.
--------20--------20--------20
-----15-20-----15-20------15-20
Probability of man being in every 15 cm or less is calculated as follows. Overall there are 5+5+5 areas that the man should not stand, if it wants to be waiting at least 5 seconds (which are the areas between 15 and 20, 35 and 40, 55 and 60). Overall, 5+5+5=15. P=1- 15/60=3/4
--------20--------20--------20
-----15-20-----15-20------15-20
Probability of man being in every 15 cm or less is calculated as follows. Overall there are 5+5+5 areas that the man should not stand, if it wants to be waiting at least 5 seconds (which are the areas between 15 and 20, 35 and 40, 55 and 60). Overall, 5+5+5=15. P=1- 15/60=3/4
21 Jul 2019, 22:18
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marcodonzelli
One revolutions = 60 seconds / 3 revolutions = 20 seconds / revolutions
Probability that a man will stay in dark for max 5 seconds =5/20 =1/5
probability that a man appearing near the tower will stay in the dark for at least 5 seconds = 1-1/4 = 3/4
IMO E
