## "Work" Word Problems | Purplemath

Effective problem solving does take some time and attention more of the latter than the former. But less time and attention than is required by a problem not well solved. What it really takes is a willingness to slow down. A problem is like a curve in the road. Take it right and you'll find yourself in good shape for the straightaway that follows. As you can see in the above example, "work" problems commonly create rational equations. But the equations themselves are usually pretty simple to solve. One pipe can fill a pool times as fast as a second pipe. When both pipes are opened, they fill the pool in five hours. May 11,  · The five primary steps in problem solving are: 2. Generating a set of alternative interventions to achieve your end goal (required skills: Brainstorming, Creative Thinking, Prediction, Forecasting, Project Design, Project Planning) Examples: Brainstorming Solutions, Developing Treatment Plans, Devising and Testing Hypotheses 3.

## Seven Steps for Effective Problem Solving in the Workplace

Work problems have direct real-life applications. We often need to determine how many people are needed to complete a task within a given time. Alternatively, given a limited number of workers, we often need to determine how long it takes to finish a project. Here we deal solving work problems the basic math concepts of how to handle these types of problems. In these lessons, we will learn how to solve work problems that involve two persons how to solve work problems that involve more than two persons how to solve work problems that involve pipes filling up a tank.

This formula can be extended for more than two persons. It can also be used in problems that involve pipes filling up a tank. Example 1: Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes.

How long will it take for them to mow the lawn together? Step 2: Use the formula:, solving work problems. Answer: The time taken for both of them to mow the lawn together is 24 minutes. Example 2: It takes Maria solving work problems hours to pick forty bushels of apples. Kayla can pick the same amount in 12 hours. How long will solving work problems take if they work together?

Round your answer to the nearest hundredths. If Jane does the job alone she can finish it in 5 hours. If Paul does the job alone he can solving work problems it in 6 hours, solving work problems. How long will it take for Peter to finish the job alone? Step 3: Solve the equation Multiply both sides with 30 x.

Answer: The time taken for Peter to paint the fence alone is hours. Example 2: Jim can dig a hole by himself in 12 hours. John can do it in 8 hours and Jack can do it in 6. When the tank is full, solving work problems, it can be drained by pipe C in 4 hours, solving work problems.

Solution: Step 1: Assign variables :. Answer: The time taken to fill the tank is hours. Example 2: Pipe 1 takes 5 days to drain a pool and pipe 2 takes 7 days to drain the pool.

How long will it take for the two pipes to drain the pool together? Show Step-by-step Solutions Work Word Problems It is possible to solve word problems when two people are doing a work job together by solving systems of equations. To solve a work word problem, multiply the hourly rate of the two people working together by the time spent working to get the total amount of time spent on the job. Knowledge of solving systems of equations is necessary to solve these types of problems.

Example: Latisha and Ricky work for a computer software company. Together they can write a particular computer program in 19 hours. Latisha can write the program solving work problems herself in 32 hours.

How long will it take Ricky to write the program alone? Show Step-by-step Solutions Example: A swimming pool is being drained through the drain at the bottom of the pool, and filled by the hose at the top. If the hose can fill the pool in 21 hours and the drain can empty the pool in 24 hours, how many hours will it take to fill the pool if the drain is left open?

In these lessons, we will learn how to solve work problems that involve two persons how to solve work problems that involve more than two persons how to solve work problems that involve pipes filling up a tank Related Topics: Math Work Problems More Algebra Word Problems How to solve Work word problems? You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics.

Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

### Solving Math Word Problems:: explanation and exercises

To solve a work word problem, multiply the hourly rate of the two people working together by the time spent working to get the total amount of time spent on the job. Knowledge of solving systems of equations is necessary to solve these types of problems. Example: Latisha and Ricky work for a computer software company. Together they can write a particular computer program in 19 hours. "Work" problems, involving two or more people or things working together to complete a task, and finding how long they took. Related topics in the Purplemath web site: canceling units, percent of, solving equations. May 11,  · The five primary steps in problem solving are: 2. Generating a set of alternative interventions to achieve your end goal (required skills: Brainstorming, Creative Thinking, Prediction, Forecasting, Project Design, Project Planning) Examples: Brainstorming Solutions, Developing Treatment Plans, Devising and Testing Hypotheses 3.