UPSC Exam  >  UPSC Questions  >  A water tank can hold x litres of water, and ... Start Learning for Free
A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute.
Write an expression to find the time taken to fill the tank?
Most Upvoted Answer
A water tank can hold x litres of water, and water is flowing at a rat...


Expression to find the time taken to fill the tank

Let's break down the problem:

Given:

  • Capacity of the water tank = x litres
  • Rate of water flowing into the tank = (2x + 5) litres per minute


Steps to find the time taken to fill the tank:

  1. Let t be the time taken to fill the tank.
  2. Since the rate of water flowing into the tank is (2x + 5) litres per minute, the total amount of water that flows into the tank in t minutes is (2x + 5) * t litres.
  3. For the tank to be full, the total amount of water that flows into the tank should be equal to the capacity of the tank. Therefore, we can set up the equation:


(2x + 5) * t = x

Solving for t:

  1. Multiply both sides of the equation by t:


2xt + 5t = x

  1. Isolate t on one side:


2xt = x - 5t

  1. Divide by 2x:


t = (x - 5t) / 2x

Therefore, the expression to find the time taken to fill the tank is t = (x - 5t) / 2x.

Explore Courses for UPSC exam

Top Courses for UPSC

A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank?
Question Description
A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank?.
Solutions for A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank? defined & explained in the simplest way possible. Besides giving the explanation of A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank?, a detailed solution for A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank? has been provided alongside types of A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank? theory, EduRev gives you an ample number of questions to practice A water tank can hold x litres of water, and water is flowing at a rate of (2x + 5) litres per minute. Write an expression to find the time taken to fill the tank? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev