McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
Preparing for Standardized Tests
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Exercise 1 Page 741

We are told that Hana can finish a puzzle in hours and Eric can do it in hours. We will find the time that it would take for them to do the job together. Let's start by finding the unit rate of puzzles per hour that can be completed by Hana and Eric, individually.
Note that the product of rate and time gives the fraction of the job done. We can multiply each rate by the time to represent the amount of the job done by each person.
People Rate () Fraction of the Job Done
Hana
Eric
The sum of the fractions that represent the amount of the job done by each person will be equal to
We will solve this equation by multiplying both sides of the equation by the least common denominator (LCD).
Solve for
It would take them about hours to finish the puzzle together, which corresponds to option D.