There are 500 students enrolled for MATH141 course in PMB and Howard college. A rumour starts to spread among these students that the next class test has beencancelled. Suppose that the rate at which this rumour spreads is proportional tothe product of the fraction of the students in the course who have heard the rumourand the fraction of students in the course who have not yet heard it. At 8:00 am,40 students have heard the rumour, and by 12:00 noon half the students have heard it. By what time would 90% of the students have heard the rumour?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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There are 500 students enrolled for MATH141 course in PMB and Howard college. A rumour starts to spread among these students that the next class test has beencancelled. Suppose that the rate at which this rumour spreads is proportional tothe product of the fraction of the students in the course who have heard the rumourand the fraction of students in the course who have not yet heard it. At 8:00 am,40 students have heard the rumour, and by 12:00 noon half the students have heard it. By what time would 90% of the students have heard the rumour?

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