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tCTBIhe the4inutes past 2 pm, the time needed by the minute hand of a clock to show 3 pm wases. Find t.ORund to be 3 minutes less thanminut4NCERT Fomul |
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Answer» Given time needed by the minutes hand show (t2/4) – 3Hence the quadratic equation becomes, (t2/4) – 3 = 60 – t(t2– 12)/4 = 60 – t(t2– 12) = 240 – 4 tt2– 12 – 240 + 4 t = 0t2+ 4t – 252 = 0t2+ 18t – 14t – 252 = 0t(t + 18) – 14(t + 18) = 0(t + 18)(t – 14) = 0(t + 18) = 0 or (t – 14) = 0∴t = - 18 or t = 14Since t cannot be negative, t = 14 |
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