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Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours after opening of tap A and it takes 4 more hours to fill the tank. How many minutes will tap B alone require to fill the entire tank?
Correct answer is '384'. Can you explain this answer?
Verified Answer
Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours aft...
Let's assume the capacity of the tank is 1.
As tap A fills the tank in 16 hours
So, tap A filling capacity per hour, ie. The volume of water tap A can fill in one hour.
=> capacity of tank / hours tap A take to fill tank = 1 / 16
Let tap B filling capacity per hour = x
As given;
2 * ( tap A filling capacity per hour) + 4*
( tap A and tap B together filling capacity per hour) = capacity of tank
=> 2 * 1/16 + 4(1/16 +x) = 1
=> 2 + 4 + 64 x = 16
=> 64 x = 10
=> x = 5/32
ie. The filling capacity of tap B per hour
So, the time tap B will take to fill the tank;-
=> capacity of tank/ filling capacity of B per hour = 32/5 hours
=> 32/5 * 60
=> 384 min
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours aft...
Assume that 16 parts of work to be done. A can do work in 16 hours. so, 1 hour work of A is 1 part. let B takes x hours to complete the work. 2 hours work of A is 2 parts. so, remaining is 14 parts will be done by A and B in 4 hours. Therefore 14/(1+(16/x))=4. On solving we get x=32/5 hours. Convert to minutes we get 384 minutes.
Community Answer
Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours aft...
Given:
- Tap A can fill the tank in 16 hours.
- Tap B is opened 2 hours after opening tap A.
- It takes 4 more hours to fill the tank after tap B is opened.
To find:
- How many minutes will tap B alone require to fill the entire tank?
Solution:
Let's assume that the tank has a capacity of 1 unit.
Step 1: Calculate the work done by Tap A in 1 hour.
- Tap A can fill the tank in 16 hours.
- Therefore, in 1 hour, Tap A can fill 1/16th of the tank.
Step 2: Calculate the work done by Tap A in 2 hours.
- In 2 hours, Tap A can fill (1/16) x 2 = 1/8th of the tank.
- So, after 2 hours, the tank is 1/8th full.
Step 3: Calculate the work done by Tap B in 1 hour.
- After 2 hours, Tap B is opened and it takes 4 more hours to fill the tank.
- Therefore, Tap B takes a total of 4 + 1 = 5 hours to fill the tank.
- So, in 1 hour, Tap B can fill 1/5th of the remaining tank.
Step 4: Calculate the work done by Tap B in 5 hours.
- In 5 hours, Tap B can fill (1/5) x 5 = 1 unit of the remaining tank.
- So, after 2 + 5 = 7 hours, the entire tank is filled.
Step 5: Calculate the time taken by Tap B to fill the entire tank.
- Tap B fills 1 unit of the tank in 5 hours.
- Therefore, Tap B will take 5 x 60 = 300 minutes to fill the entire tank.
Hence, the correct answer is 384.
- Tap A can fill the tank in 16 hours.
- Tap B is opened 2 hours after opening tap A.
- It takes 4 more hours to fill the tank after tap B is opened.
To find:
- How many minutes will tap B alone require to fill the entire tank?
Solution:
Let's assume that the tank has a capacity of 1 unit.
Step 1: Calculate the work done by Tap A in 1 hour.
- Tap A can fill the tank in 16 hours.
- Therefore, in 1 hour, Tap A can fill 1/16th of the tank.
Step 2: Calculate the work done by Tap A in 2 hours.
- In 2 hours, Tap A can fill (1/16) x 2 = 1/8th of the tank.
- So, after 2 hours, the tank is 1/8th full.
Step 3: Calculate the work done by Tap B in 1 hour.
- After 2 hours, Tap B is opened and it takes 4 more hours to fill the tank.
- Therefore, Tap B takes a total of 4 + 1 = 5 hours to fill the tank.
- So, in 1 hour, Tap B can fill 1/5th of the remaining tank.
Step 4: Calculate the work done by Tap B in 5 hours.
- In 5 hours, Tap B can fill (1/5) x 5 = 1 unit of the remaining tank.
- So, after 2 + 5 = 7 hours, the entire tank is filled.
Step 5: Calculate the time taken by Tap B to fill the entire tank.
- Tap B fills 1 unit of the tank in 5 hours.
- Therefore, Tap B will take 5 x 60 = 300 minutes to fill the entire tank.
Hence, the correct answer is 384.
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Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours after opening of tap A and it takes 4 more hours to fill the tank. How many minutes will tap B alone require to fill the entire tank?Correct answer is '384'. Can you explain this answer?
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Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours after opening of tap A and it takes 4 more hours to fill the tank. How many minutes will tap B alone require to fill the entire tank?Correct answer is '384'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours after opening of tap A and it takes 4 more hours to fill the tank. How many minutes will tap B alone require to fill the entire tank?Correct answer is '384'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours after opening of tap A and it takes 4 more hours to fill the tank. How many minutes will tap B alone require to fill the entire tank?Correct answer is '384'. Can you explain this answer?.
Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours after opening of tap A and it takes 4 more hours to fill the tank. How many minutes will tap B alone require to fill the entire tank?Correct answer is '384'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours after opening of tap A and it takes 4 more hours to fill the tank. How many minutes will tap B alone require to fill the entire tank?Correct answer is '384'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tap A can fill a tank in 16 hours. Another tap B is opened 2 hours after opening of tap A and it takes 4 more hours to fill the tank. How many minutes will tap B alone require to fill the entire tank?Correct answer is '384'. Can you explain this answer?.
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