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Two taps A and B fill a tank in 24 minutes and 32 minutes respectively. If both the taps are opened simultaneously, after how many minutes tap B should be closed so that the tank fills up in 18 minutes.
  • a)
    10 minutes
  • b)
    11.4 minutes
  • c)
    8 minutes
  • d)
    8.2 minutes
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two taps A and B fill a tank in 24 minutes and 32 minutes respectively...
Tap A fills 1/24 of the tank in 1 minute
Tap B fills 1/32 of the tank in 1 minute 
Let,
After x minutes tap B should be closed
so,
⇒ 18/24 + x/32 = 1
⇒ x/32 = 1 - 18/24
x = 6/24 × 32 = 8minutes
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Most Upvoted Answer
Two taps A and B fill a tank in 24 minutes and 32 minutes respectively...
Given:
Tap A fills tank in 24 minutes
Tap B fills tank in 32 minutes
Both taps open simultaneously, the tank should fill up in 18 minutes

To find:
After how many minutes tap B should be closed so that the tank fills up in 18 minutes

Solution:
Let the tank's capacity be 'x'
Tap A's filling rate = x/24
Tap B's filling rate = x/32

Let's assume that tap B should be closed after 't' minutes
Therefore, the time for which both taps were open = (18-t) minutes

Total work done by tap A in (18-t) minutes = (x/24) * (18-t)
Total work done by tap B in 't' minutes = (x/32) * t

Total work done by both taps = x
Therefore, (x/24) * (18-t) + (x/32) * t = x

Solving for 't', we get:
t = 8 minutes

Therefore, tap B should be closed after 8 minutes so that the tank fills up in 18 minutes.
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Two taps A and B fill a tank in 24 minutes and 32 minutes respectively. If both the taps are opened simultaneously, after how many minutes tap B should be closed so that the tank fills up in 18 minutes.a)10 minutesb)11.4 minutesc)8 minutesd)8.2 minutesCorrect answer is option 'C'. Can you explain this answer?
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Two taps A and B fill a tank in 24 minutes and 32 minutes respectively. If both the taps are opened simultaneously, after how many minutes tap B should be closed so that the tank fills up in 18 minutes.a)10 minutesb)11.4 minutesc)8 minutesd)8.2 minutesCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Two taps A and B fill a tank in 24 minutes and 32 minutes respectively. If both the taps are opened simultaneously, after how many minutes tap B should be closed so that the tank fills up in 18 minutes.a)10 minutesb)11.4 minutesc)8 minutesd)8.2 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two taps A and B fill a tank in 24 minutes and 32 minutes respectively. If both the taps are opened simultaneously, after how many minutes tap B should be closed so that the tank fills up in 18 minutes.a)10 minutesb)11.4 minutesc)8 minutesd)8.2 minutesCorrect answer is option 'C'. Can you explain this answer?.
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