Satvik observed that in a clock, the time needed by the minute hand of a clock to shown 3 PM was found to be 3 min less than t2/4 minutes at t minutes past 2 PM. Then t is equal to
a.14
b.15
c.16
d.None of these
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Step-by-step explanation:
t minutes past 2, the time needed to show 3 is 60-t.
As per the question,
60−t=4t2−3
240−4t=t2−12
t2+4t−252=0
t2+18t−14t−252=0
t(t+18)−14(t+18)=0
(t+18)(t−14)=0
t=−18,14
Ignoring the negative value,
t=14
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