A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time/4347395/f56da09a?utm_source=registration

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31-07-2017
Mathematics

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A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time/4347395/f56da09a?utm_source=registration

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Аноним Аноним · Answer 1 · 2017-08-07T13:54:30+02:00

The current grading rate is
(30 minute)/(5 papers) = 6 minutes/paper.

She has 3 hours (or 180 minutes) to grade 35 papers.
She now has 180 - 30 = 150 minutes left, and she has 35- 5 = 30 papers left.

The remaining grading rate is
(150 minutes)/(30 papers) = 5 minutes/paper

Therefore she must work at 1 minute/paper faster to complete grading 35 papers in 3 hours.

Answer: She should work faster at an increased rate of 1 minute per paper.