At t minutes past 2pm, the time needed by the minutes hand of a clock to show 3pm was fond to be 3 minutes less than t sqare/4 minutes. Find t?
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Answer:
t minutes past 2, the time needed to show 3 is 60-t.
As per the question,
60−t=
4
t
2
−3
240−4t=t
2
−12
t
2
+4t−252=0
t
2
+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
Step-by-step explanation:
hope it will help you
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