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Answers
Answer:
t = 14
Step-by-step explanation:
Total time taken by the minute hand to run from 2 pm to 3 pm = 60 minutes.
According to the given condition,
⇒ t + (t²/4 - 3) = 60
⇒ t + (t² - 12)/4 = 60
⇒ (4t + t² - 12) = 240
⇒ 4t + t² - 252 = 0
⇒ t² + 4t - 252 = 0
⇒ t² + 18t - 14t - 252 = 0
⇒ t(t + 18) - 14(t + 18) = 0
⇒ (t - 14)(t + 18) = 0
⇒ t = 14, -18{Since time cannot be negative, t≠-18}
⇒ t = 14.
Therefore, the value of t = 14.
Hope it helps!
Given time needed by the minutes hand show (t2/4) – 3
Hence the quadratic equation becomes, (t2/4) – 3 = 60 – t
(t2 – 12)/4 = 60 – t
(t2 – 12) = 240 – 4 t
t2 – 12 – 240 + 4 t = 0
t2 + 4t – 252 = 0
t2 + 18t – 14t – 252 = 0
t(t + 18) – 14(t + 18) = 0
(t + 18)(t – 14) = 0
(t + 18) = 0 or (t – 14) = 0
t = - 18 or t = 14
Since t cannot be negative, t = 14