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    pipe a can fill a tank in 40 minutes whereas pipe b can empty it in 20 minutes. if both the pipes are opened together what will be the time taken to fill the tank?

    Mohammed

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    get pipe a can fill a tank in 40 minutes whereas pipe b can empty it in 20 minutes. if both the pipes are opened together what will be the time taken to fill the tank? from screen.

    Two pipes A and B can fill a water tank in 20 minutes and 24 minutes, respectively, and the third pipe C can empty at the rate of 3 gallons per minute. If A, B and C opened together, fill the tank in 15 minutes the capacity (in gallons) of the tank is

    Click here👆to get an answer to your question ✍️ Two pipes A and B can fill a water tank in 20 minutes and 24 minutes, respectively, and the third pipe C can empty at the rate of 3 gallons per minute. If A, B and C opened together, fill the tank in 15 minutes the capacity (in gallons) of the tank is

    Question

    Two pipes A and B can fill a water tank in 20 minutes and 24 minutes, respectively, and the third pipe C can empty at the rate of 3 gallons per minute. If A, B and C opened together, fill the tank in 15 minutes the capacity (in gallons) of the tank is

    A

    180

    B

    150

    C

    120

    D

    60

    Medium Open in App

    Updated on : 2022-09-05

    Solution Verified by Toppr

    Correct option is C)

    Part of the tank filled when all the three pipes are opened in 1 minute =

    15 1 ​

    Part of the tank filled when (A + B) are opened in 1 minute =

    20 1 ​ + 24 1 ​ = 120 6+5 ​ = 120 11 ​

    ∴ Part of the tank emptied by C in 1 min =

    120 11 ​ − 15 1 ​ = 40 1 ​ ∴ Capacity of = 40 1 ​

    part of the tank =3 gallons

    ∴ Capacity of the tank =(3×40) gallons =120 gallons

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    स्रोत : www.toppr.com

    [Solved] Pipe A can fill a tank in 40 minutes and Pipe B can empty th

    Given: Pipe A = Takes 40 minutes to fill Pipe B = Takes 60 minutes to empty Formula Used: (1/ t) = (1/ a) - (1/ b) where a is time taken by pipe A to fill

    Home Quantitative Aptitude Time and Work Pipe and Cistern

    Question

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    Pipe A can fill a tank in 40 minutes and Pipe B can empty the same tank in 60 minutes. Find the total time taken by A and B together to fill the tank

    150 minutes 120 minutes 140 minutes 60 minutes

    Answer (Detailed Solution Below)

    Option 2 : 120 minutes

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    Detailed Solution

    Download Solution PDF

    Given:

    Pipe A = Takes 40 minutes to fill

    Pipe B = Takes 60 minutes to empty

    Formula Used:

    (1/ t) = (1/ a) - (1/ b)

    where a is time taken by pipe A to fill the tank and b is time taken by B to empty the tank

    Calculation:

    Here, a = 40 and b = 60,

    (1/ t) = (1/ 40) - (1/ 60)

    ⇒ (1/ t) = (3- 2)/ 120

    ⇒ (1/ t) = (1/ 120)

    ∴ t = 120 minutes

    Alternate Method

    Convert minutes into efficiency

    Take LCM of 40 and 60

    LCM (40, 60) = 120

    Now, units of time taken by pipe A = 120/ 40

    ⇒ Units = 3

    Units of time taken by pipe B = 120/ 60

    ⇒ Units = 2

    Time taken by tank to fill the whole tank when both pipes are open = 120/ (3 - 2)

    ⇒ T = 120 minutes

    ∴ T = 120 minutes

    Correct answer is option 2

    Download Solution PDF

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    More Pipe and Cistern Questions

    Q1. Pipe A can fill 50% of a tank in 4 hours and pipe B can completely fill the same tank in 12 hours. If both the pipes are opened at the same time, then in how much time will the empty tank be completely filled?Q2. A pool has 3 taps. The first tap takes 3 days, the second tap takes 2 days, and the third tap takes 18 hours, to fill the pool. All the three taps are opened together. After 8 hours, the second tap is closed. The total time to fill the pool completely will be:Q3. Pipes A and B can fill a tank in 9 hours and 15 hours, respectively. Both pipes were opened at the same time. After some time, it was found that there was a leak at the bottom of the tank which was capable of emptying the fully filled tank in

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    Q8. Two pipes A and B can fill a cistern in

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    Q10. A leak in the bottom of a tank can empty the full tank in 9 hours. An inlet pipe fills water at the rate of 5 litres per minute. When the tank is full, the inlet is opened and due to the leak the tank gets empty in 12 hours. The capacity of the tank (in litres) is:

    More Time and Work Questions

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    स्रोत : testbook.com

    Pipe A can fill a tank in 40 minutes. Pipe B can fill the same tank in 20 minutes. A crack at the bottom of the tank can empty the tank in 120 minutes. If both the pipes are opened simultaneously when the tank is empty and water gets drained through the crack at the bottom, when will the tank be full?

    Pipe A can fill a tank in 40 minutes. Pipe B can fill the same tank in 20 minutes. A crack at the bottom of the tank can empty the tank in 120 minutes. If both the pipes are opened simultaneously when the tank is empty and water gets drained through the crack at the bottom, when will the tank be full?

    Pipes and Cisterns

    Pipe A can fill a tank in 40 minutes. Pipe B can fill the same tank in 20 minutes. A crack at the bottom of the tank can empty the tank in 120 minutes. If both the pipes are opened simultaneously when the tank is empty and water gets drained through the crack at the bottom, when will the tank be full?

    A) 18 minutes B) 15 minutes C) 12 minutes D) 21 minutes Correct Answer: B) 15 minutes

    Description for Correct answer:

    Pipe A fills 1 40 140

    th of the tank every minute. Pipe B fills

    1 20 120

    th every minute. The crack at the bottom drains

    1 120 1120

    th of the tank every minute.

    Therefore, when both the pipes are opened and the crack is left unchecked,

    1 40 + 1 20 = 1 120 140+120=1120

    th of the tank gets filled.

    That is, 3+6−1 120 = 8 120 = 1 15 3+6−1120=8120=115

    th of the tank gets filled every minute.

    Hence, the tank will be full in 15 minutes.

    Part of solved Pipes and Cisterns questions and answers : >> Aptitude >> Pipes and Cisterns

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    स्रोत : www.competoid.com

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