Exemplo 8.85 de Elementary Algebra, 8.8 Solve Uniform Motion and Work Applications
Problema e solução em inglês, como no livro original.
Corey can shovel all the snow from the sidewalk and driveway in 4 hours. If he and his twin Casey work together, they can finish shoveling the snow in 2 hours. How many hours would it take Casey to do the job by himself?
Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.
| This is a work application. A chart will help us organize the information. | |
| We are looking for how many hours it would take Casey to complete the job by himself. | |
| Let the number of hours needed for Casey to complete. | |
| Enter the hours per job for Corey, Casey, and when they work together. If Corey takes 4 hours, then in 1 hour of the job is completed. Similarly find the part of the job completed/hours for Casey and when they both work together. |
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| Write a word sentence. | |
| The part completed by Corey plus the part completed by Casey equals the amount completed together. | |
| Translate to an equation: | |
| Solve. | |
| Multiply by the LCD, . | |
| Simplify. | |
| It would take Casey 4 hours to do the job alone. | |
O Try It do livro logo depois deste exemplo: mesma ideia, outros números. Só a resposta é dada.
Two hoses can fill a swimming pool in 10 hours. It would take one hose 26 hours to fill the pool by itself. How long would it take for the other hose, working alone, to fill the pool?
Como foi?