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Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank?
Most Upvoted Answer
Two pipes A & B can fill a tank in 16 hours and 20 hours respectively....
Understanding the Problem
To solve the problem, we first need to determine the rates at which pipes A and B can fill the tank.
Filling Rates of Pipes
- Pipe A can fill the tank in 16 hours, hence its filling rate is:
- Rate of A = 1 tank / 16 hours = 1/16 tanks per hour
- Pipe B can fill the tank in 20 hours, hence its filling rate is:
- Rate of B = 1 tank / 20 hours = 1/20 tanks per hour
Initial Tank Status
- The tank is initially 1/4 filled.
- Therefore, the remaining portion to be filled is:
- Remaining = 1 - 1/4 = 3/4 of the tank
Work Done by Pipe A
- Pipe A is opened for the first 6 hours. The amount filled by A in 6 hours is:
- Amount filled = Rate of A × Time = (1/16) × 6 = 6/16 = 3/8 of the tank
Calculating Remaining Portion
- After 6 hours, the amount of the tank still remaining to be filled is:
- Remaining = 3/4 - 3/8
- To calculate this, convert 3/4 to a common denominator:
- 3/4 = 6/8
- Remaining = 6/8 - 3/8 = 3/8 of the tank
Work Done by Pipe B
- Now, we need to find out how long it will take for Pipe B to fill the remaining 3/8 of the tank.
- Using the rate of Pipe B:
- Let time taken by B = t hours
- Work done by B = Rate of B × Time = (1/20) × t
- Setting up the equation:
- (1/20) × t = 3/8
- Solving for t:
- t = (3/8) × 20 = 60/8 = 7.5 hours
Final Answer
- Therefore, Pipe B will take **7.5 hours** to fill the remaining tank.
To solve the problem, we first need to determine the rates at which pipes A and B can fill the tank.
Filling Rates of Pipes
- Pipe A can fill the tank in 16 hours, hence its filling rate is:
- Rate of A = 1 tank / 16 hours = 1/16 tanks per hour
- Pipe B can fill the tank in 20 hours, hence its filling rate is:
- Rate of B = 1 tank / 20 hours = 1/20 tanks per hour
Initial Tank Status
- The tank is initially 1/4 filled.
- Therefore, the remaining portion to be filled is:
- Remaining = 1 - 1/4 = 3/4 of the tank
Work Done by Pipe A
- Pipe A is opened for the first 6 hours. The amount filled by A in 6 hours is:
- Amount filled = Rate of A × Time = (1/16) × 6 = 6/16 = 3/8 of the tank
Calculating Remaining Portion
- After 6 hours, the amount of the tank still remaining to be filled is:
- Remaining = 3/4 - 3/8
- To calculate this, convert 3/4 to a common denominator:
- 3/4 = 6/8
- Remaining = 6/8 - 3/8 = 3/8 of the tank
Work Done by Pipe B
- Now, we need to find out how long it will take for Pipe B to fill the remaining 3/8 of the tank.
- Using the rate of Pipe B:
- Let time taken by B = t hours
- Work done by B = Rate of B × Time = (1/20) × t
- Setting up the equation:
- (1/20) × t = 3/8
- Solving for t:
- t = (3/8) × 20 = 60/8 = 7.5 hours
Final Answer
- Therefore, Pipe B will take **7.5 hours** to fill the remaining tank.
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Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank?
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Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank?.
Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank?.
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Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank?, a detailed solution for Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank? has been provided alongside types of Two pipes A & B can fill a tank in 16 hours and 20 hours respectively. If 1/4th of the tank is already filled and to fill the remaining tank A is opened for first 6 hours, then B is opened. Find how much time B will take to fill the remaining tank? theory, EduRev gives you an
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