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ATQ,
Let t be the time taken by pipe C to fill the tank alone. Pipe D alone fills the tank in 20 hours. Together, C and D take [20t/(20+t)] hours It's given that:
Multiply through by 20+t: t(20+t)=20t+5(20+t) Expand = t2=5t+100 Rearrange into a quadratic equation = t2−5t−100=0 Solve using the quadratic formula:-
The time taken by pipe C alone to fill the tank is 12.81 hours.
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I). p 2 – 5p – 126 = 0
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28, 52, 84, 124, 172, ?.
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