In the test part of the public ***, the question of quantitative relationship is one of the test points that needs special attention in the preparation process.
Among them, the problem of queuing to fetch water is a common quantitative relationship problem, which requires candidates to perform mathematical calculations and logical reasoning.
This article will introduce in detail how to effectively answer the question of queuing up to fetch water, and help students better grasp this test point in the preparation process.
The queuing problem is a typical quantitative relationship problem, which often involves multiple variables such as time, number of people, and speed in the process of answering. Typically, the queuing problem can be solved by establishing an equilibrium relationship and using proportions.
Here are the steps to answer the question of queuing up for water:
First of all, you should read the question carefully and clarify the information and requirements given by the question. Pay attention to the key information mentioned in the stem, such as the number of people, time, and speed.
According to the information given in the question, determine the equivalence relationship in the process of queuing for water. Common equiquantitative relationships include: the positive proportional relationship between time and the number of people, the inverse relationship between time and speed, etc.
According to the equiquantitative relationship, the corresponding mathematical model is established. Equiquantity relationships can be expressed using equations, inequalities, or proportions, among others.
Based on known conditions and established mathematical models, a list of equations or inequalities is listed. Unknown variables can be solved by means of simultaneous equations or inequalities.
Using the listed system of equations or inequalities, solve the equation or inequality according to the known conditions to solve the problem and get the answer.
It takes 5 minutes for A to fetch water alone, 10 minutes for B to fetch water alone, and 15 minutes for C to fetch water alone. So how long does it take for them to line up together to fetch water?
Analysis of the Blue Fox Public Examination: According to the information given in the question, it takes X minutes for A, B, and C to draw water together. Since there is a proportional relationship between the number of people and time, we can establish an equiquantitative relationship: 1 5 + 1 10 + 1 15 = 1 x. Solving this equation, we can get x = 3. Therefore, it takes 3 minutes for them to line up together to fetch water.
It takes 5 minutes for A to fetch water alone, 10 minutes for B to fetch water alone, and 15 minutes for C to fetch water alone. Now there are 20 people waiting in line to fetch water, so how long will it take them to finish?
Blue Fox Public Exam Analysis: According to the information given in the question, we set them to fetch water together for x minutes. Since there is a proportional relationship between the number of people and time, we can establish an equiquantitative relationship: 1 5 + 1 10 + 1 15 = 20 x. Solving this equation, we can get x = 4. Therefore, it takes them a total of 4 minutes to complete.
Through the detailed explanation and case analysis of the solution steps of queuing for water, we can find that when solving this kind of problem, it is the key to solve the problem of queuing for water, clarifying the meaning of the problem, determining the equivalence relationship, establishing a mathematical model, and solving the unknown variables according to the known conditions.
It is hoped that through the steps and case studies provided in this article, candidates will be able to better grasp the skills of queuing up to fetch water in the process of preparing for the exam.