B = 1.8 or 1 4/5 49 y = 8 Solve. 1. 2. 3. ANSWER.

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Presentation transcript:

b = 1.8 or 1 4/5 49 y = 8 Solve ANSWER

b = 1.8 or 1 4/5 49 y = 8 Solve ANSWER

Work Problems Objective: To solve Work Problems (work rate x time = work done)

Work Problems To do work problems you must remember three things. 1. When working together, one person does part of the job (a fractional amount). 2. The sum of the parts equals a whole job. 3. To solve the equation, you must get common denominators.

One More Thing… Write your final answer in sentence form and check your solution for reasonableness and accuracy. Yes, word problems are difficult, but they are not impossible… with the right organization and persistence.

Work Problems Sean can conquer a video game alone in 6 hours. If he works/plays for 2 hours, what part of the job is done? EX. 1 of the job is completed If more than one person is working together to complete a task, then the part that each person does, will add up to equal the job. If more than one person is working together to complete a task, then the part that each person does, will add up to equal the job.

An equation that models this is as follows: -2 people working together: -3 people working together: Formula 1 Formula 2

If Jeremy can beat Halo alone in 6 hours and Jeff can beat Halo alone in 4 hours, how long will it take if they both worked (play) together? (NOTE: The answer of 5 hours is not correct; the answer MUST BE less than 4 hours!) EX. 2 Jeremy working + Jeff working = 1 Halo conquered Use Formula 1 Work Problems LCD=12 2x3x 12

2x + 3x = 12 5x = 12

If one hose can fill a pool in 12 hours, another hose can fill the pool in 8 hours, and a different hose can fill the pool in 6 hours, how long will it take if all three hoses are working together to fill the pool? EX. 3 hose A + hose B + hose C = 1 pool filled Use Formula 2 LCD=24 2x3x24 Work Problems 4x

2x + 3x + 4x = 24 9x = 24