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Two pipes X and Y can individually fill a tank in 48 and 72 minutes respectively. If they are opened simultaneously, how long would it take for the tank to fill?
  • a)
    24 minutes
  • b)
    60 minutes
  • c)
    28.8 minutes
  • d)
    39.4 minutes
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two pipes X and Y can individually fill a tank in 48 and 72 minutes re...
Two pipes X and Y can individually fill a tank in 48 and 72 minutes respectively.
Part of tank filled by X and Y together in 1 hour = 1/48 + 1/72 = (3 + 2)/144 = 5/144
∴ Time taken by both the pipes to fill the tank = 144/5 = 28.8 minutes
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Most Upvoted Answer
Two pipes X and Y can individually fill a tank in 48 and 72 minutes re...


Explanation:

Given:
- Pipe X can fill the tank in 48 minutes.
- Pipe Y can fill the tank in 72 minutes.
- When opened simultaneously, we need to find out how long it will take to fill the tank.

Calculating the rate of filling:
- Pipe X can fill 1/48th of the tank in 1 minute.
- Pipe Y can fill 1/72nd of the tank in 1 minute.
- When both pipes are opened together, their combined rate of filling = 1/48 + 1/72 = 3/144 + 2/144 = 5/144.

Calculating the time taken to fill the tank:
- To fill the entire tank, the combined rate of filling should be 1.
- Therefore, the time taken to fill the tank = 1 / (5/144) = 144 / 5 = 28.8 minutes.

Therefore, it will take approximately 28.8 minutes for the tank to fill when both pipes X and Y are opened simultaneously. Hence, the correct answer is option C) 28.8 minutes.
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Two pipes X and Y can individually fill a tank in 48 and 72 minutes respectively. If they are opened simultaneously, how long would it take for the tank to fill?a)24 minutesb)60 minutesc)28.8 minutesd)39.4 minutesCorrect answer is option 'C'. Can you explain this answer?
Question Description
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