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Pipe P is 4 times as fast as Q in filling a tank. If P takes 20 minutes to fill a tank, then what is the time taken by both the pipe P and Q to fill the tank?
  • a)
    12
  • b)
    16
  • c)
    18
  • d)
    20
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Pipe P is 4 times as fast as Q in filling a tank. If P takes 20 minute...
P takes 20 minutes and it is 4 times faster than Q, it means Q will take 80 minutes to fill the tank.
(1/20 + 1/80)*t = 1. We get t = 16
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Most Upvoted Answer
Pipe P is 4 times as fast as Q in filling a tank. If P takes 20 minute...
Given:
- Pipe P is 4 times as fast as Q in filling a tank.
- Pipe P takes 20 minutes to fill a tank.

To find:
- Time taken by both pipes P and Q to fill the tank.

Let's assume that Q takes x minutes to fill the tank.

Since Pipe P is 4 times as fast as Q, we can write the equation:

P's rate = 4Q's rate

Now, let's calculate the rates:
- P's rate = 1 tank / 20 minutes = 1/20 tanks per minute
- Q's rate = 1 tank / x minutes = 1/x tanks per minute

From the given information, we know that P's rate is 4 times Q's rate:

1/20 = 4 * (1/x)

Simplifying the equation:

1/20 = 4/x

Cross multiplying:

x = 20 * 4

x = 80 minutes

Therefore, Q takes 80 minutes to fill the tank.

To find the time taken by both pipes P and Q together, we add their individual times:

P's time + Q's time = 20 minutes + 80 minutes = 100 minutes

So, the correct answer is option 'B' - 16 minutes.
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Community Answer
Pipe P is 4 times as fast as Q in filling a tank. If P takes 20 minute...
P takes 20 minutes and it is 4 times faster than Q, it means Q will take 80 minutes to fill the tank.
(1/20 + 1/80)*t = 1. We get t = 16
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Pipe P is 4 times as fast as Q in filling a tank. If P takes 20 minutes to fill a tank, then what is the time taken by both the pipe P and Q to fill the tank?a)12b)16c)18d)20e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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