Two pipes A and B can fill a tank in 48 minutes and 66 minutes, respectively. If both pipes are opened simultaneously, how long after should pipe B be closed to ensure the tank gets filled in 32 minutes?

-
Pipe and Tank Problem - Step-by-Step Solution

Pipe and Tank Problem

Problem: Two pipes A and B can fill a tank in 48 minutes and 66 minutes, respectively. If both pipes are opened simultaneously, after how many minutes should Pipe B be closed so that the tank gets filled in exactly 32 minutes?

Step-by-Step Solution:

  1. Step 1: Calculate the rate of filling for each pipe.
    • Pipe A fills the tank in 48 minutes, so its rate = 1/48 (portion of the tank per minute).
    • Pipe B fills the tank in 66 minutes, so its rate = 1/66 (portion of the tank per minute).
  2. Step 2: Work done by Pipe A in 32 minutes.
    • Since Pipe A works for the full 32 minutes, the work done by A = 32 × 1/48 = 2/3 (portion of the tank).
  3. Step 3: Determine the remaining portion of the tank to be filled.
    • Total work to fill the tank = 1 (a full tank).
    • Remaining work = 1 - 2/3 = 1/3 (portion left).
  4. Step 4: Calculate the time for Pipe B to fill the remaining portion.
    • Rate of Pipe B = 1/66 (portion per minute).
    • Time = Remaining work / Rate of Pipe B = (1/3) / (1/66) = 22 minutes.

Final Answer:

Pipe B should be closed after 22 minutes.

Explanation:

Pipe A fills 2/3 of the tank in 32 minutes. The remaining 1/3 is filled by Pipe B in 22 minutes at its rate. After 22 minutes, Pipe B can be closed, allowing Pipe A to complete the tank filling.

Comments

Post a Comment

Popular Posts

Raspberry pi ? Its working and uses

-
Image
Introduction of a Raspberry  pi    :-   Image:- Credit to the  Third Party Raspberry Pi is a low cost , credit card size device  Raspberry are connected to the monitor ,Mouse and  keyboard.Raspberry Pi is a provide a features of  to a playing high definition video and to making spreadsheet , word processing ,and playing Games.Raspberry Pi is a working like a desktop or computer. Raspberry Pi having a ability to interact with outside device to the making many project like a Weather forecast device , Digital Camera , Music machine , Traffic monitoring device etc. Raspberry Pi are supports Python and Scratch Programming language. Raspberry Pi is a also known as a Raspi or RPi . Raspberry Pi is a circuit board fitted with a phone processor chip and 256 megabyte of RAM and connectivity. History of Raspberry Pi :-  Raspberry Pi is a developed by Eben Upton in a Cambridge , England . Eben Upton is a founder of a Raspberry Pi foundation. Raspberry Pi...
Read more»

What is a HTML? How to create HTML Web page.

-
Image
The Full of a HTML is a Hyper Text Markup Language. HTML is a combination of a two words one is a Hyper Text and second one is a Markup Language. Hyper Text is a give information about the link between the Web-pages. Markup Language tells about the text document within tags and Structure of a Web-Pages.  HTML [Hyper Text Markup Language] was developed by Physicist Scientists Tim Berners Lee in 1991.  HTML [Hyper Text Markup Language] is a used for to create Web-Pages and Web Application. HTML [Hyper Text Markup Language] is a create only static Web-Pages. HTML is a   [Hyper Text Markup Language]   mostly used for Web activity. HTML [Hyper Text Markup Language] is a Markup Language not a Programming Language.  The file extension of a HTML  [Hyper Text Markup Language] is a .html or .htm. History of a HTML    [Hyper Text Markup Language] :- HTML [Hyper Text Markup Language] was developed by Physicist Scientists Tim Berners Lee in 1991....
Read more»

What is a Microprocessor it's working and uses.

-
Image
Microprocessor :-  Image Credit to The Third Party.                           Microprocessor is a processor of a computer that the processes all process in the system of the computer's system. Microprocessor is a like a microchip which is a situated on a IC ( integrated circuit). We can call Microprocessor the CPU (Central Processing Unit) of the computer and the brain of the computer. Microprocessor is a control the all functionalities of the computer. Microprocessor is a combination of combinatinal circuit and sequential circuit. Basic working of Microprocessor  :- Microprocessor is a take the input from user and transfer the memory , Decode the input and process the input and produce the output according to the user input. Microprocessor is a perform the some basic Arithmetic operations by using ALU (Arithmetic Logic Unit). For example :- Addition, Subtraction, Multiplication, Division, etc.  Mi...
Read more»