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33 votes
33 votes
Usually it takes Mrs. Manny 5.2 hours to grade her students' assignments. Thisweekend, her daughter Lexi is home and has offered to help. If it would take Lexi 6.4hours to grade the papers alone, how long will it take the two to finish the task of grading,working together?

User OrangeInk
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1 Answer

14 votes
14 votes

Mrs. Manny needs 5.2 hours to grade her students' assignments. It would take Lexi 6.4 hours to grade the assignments alone.

In one hour, Mrs. Manny completes 1 / 5.2 = 0.1923 of the work.

In one hour, Lexi completes 1 / 6.4 = 0.15625 of the work

Together, they complete 0.1923 + 0.15625 = 0.34856 of the work.

The full work would take them 1 / 0.34856 = 2.87 hours.

It would take 2.87 hours for them to finish the task together.

User Ben Bederson
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