SECTION
At 't' minutes past 2 pm, the time needed
by the minute hand of a clock to show
3 pm was found to be 3 minutes less than
t^2/4 minutes. Find t.
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Answer:
Step-by-step explanation:
t min past 2 pm means that for 3pm (60min - t) time is required.
And this time is equal to (t^2)/4 -3 minutes.
Equating,
60-t = 1/4 (t^2) -3
Multiplying by 4,
=> 240 -4t = t^2 - 12
=> t^2 +4t - 252 =0
=> (t+18)(t-14) = 0
=> t=-18,14
since t>0, t is not equal to -18.
Thus t=14 minutes
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