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Problem-Solving Strategy for Work Applications
To solve a work application, organize the given information and translate it into a rational equation. Step 1. Let be the number of hours needed to complete the job working together. Step 2. Determine the part of the job completed per hour for each individual entity and for when they work together. If an entity takes hours alone, its rate is . Step 3. Write a word sentence modeling the situation: the part completed by the first entity plus the part completed by the second entity equals the amount completed together. Step 4. Translate the sentence into a rational equation, typically taking the form . Step 5. Solve the rational equation by multiplying both sides by the least common denominator (LCD) to clear the fractions.
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Intermediate Algebra @ OpenStax
Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax
Algebra
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