Multiple choice

If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hour faster than the other. How many hours does the faster pipe take to fill the reservoir? यदि दो पाइप एक साथ काम करते है, तो एक टंकी को 12 घंटे में भर सकते है। एक पाइप टंकी को दूसरे पाइप से 10 घंटे कम समय में भर सकता है। तेज भरने वाला पाइप कितने समय में टंकी को भर सकता है?

  1. 20 hours/घंटे

  2. 30 hours/घंटे

  3. 25 hours/घंटे

  4. 35 hours/घंटे
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A Correct answer
Explanation

Let slower pipe time = t hours, faster = t-10 hours. Combined rate: 1/t + 1/(t-10) = 1/12. Solving: (2t-10)/(t²-10t) = 1/12. Cross-multiplying: 24t - 120 = t² - 10t. So t² - 34t + 120 = 0, giving t = 30 or t = 4. t cannot be 4 (would make t-10 negative). So slower = 30 hrs, faster = 20 hrs.

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