## 3 Ways to Solve a Problem - wikiHow

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. Purplemath "Work" problems usually involve situations such as two people working together to paint a house. You are usually told how long each person takes to paint a similarly-sized house, and you are asked how long it will take the two of them to paint the house when they work together. Free math problem solver answers your algebra homework questions with step-by-step explanations.

## Solving Problems Involving Work

Example 1 — Walter and Helen are asked to paint a house, how to solve problems at work. Walter can paint the house by himself in 12 hours and Helen can paint the house by herself in 16 hours. How long would it take to paint the house if they worked together?

Example 2 — Tom and Jerry have to stuff and mail envelopes for a new marketing campaign. Jerry can do the job alone in 6 hours. If Tom helps, they can get the job done in 4 hours, how to solve problems at work. How long would it take Tom to do the job by himself? Example 3 — One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.

How long would it take to fill the pool if both pipes were accidentally left open? Example 4 — One roofer can put a new roof on a house three times faster than another. Working together they can roof a house in 5 days.

How long would it take the faster roofer working alone? Example 5 — Triplets, Justin, Jason, and Jacob are working on a school project.

Justin can complete the project by himself how to solve problems at work 6 hours, Jason can complete the project by himself in 9 hours, and Jacob can complete the project by himself in 8 hours. How long would it take the triplets to complete the project if they work together?

Solve the equation created in the first step. This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Step 2 : Solve the equation created in the first step.

In this case, the least common denominator is Step 3 : Answer the question asked of you in the problem and be sure to include units with your answer. In this case, the least common denominator is 6A. In this case, one pipe is how to solve problems at work the pool and the other is emptying the pool so we get the equation:.

In this case, the least common denominator is 3x. In this case, there are three people so the equation becomes:.

### "Work" Word Problems | Purplemath A problem involving work can be solved using the formula, where T = time working together, A = the time for person A working alone, and B = the time for person B working alone. Step 2: Solve the equation created in the first step. Free math problem solver answers your algebra homework questions with step-by-step explanations. Purplemath "Work" problems usually involve situations such as two people working together to paint a house. You are usually told how long each person takes to paint a similarly-sized house, and you are asked how long it will take the two of them to paint the house when they work together.