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1. |
At t minutes past 2 pm, the time needed to 3 pm is 3 minutes less than t2/4. Find t. |
Answer» 60 – t = t2/4 – 3 ⇒ t2 – 12 = 240 – 4t ⇒ t2 + 4t – 252 = 0 ⇒ t2 + 18t – 14t – 252 = 0 ⇒ t(t + 18) – 14(t + 18) = 0 ⇒ (t + 18) (t – 14) = 0 ∴ t = 14 or t = -18 is not possible. |
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