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18 January, 01:26

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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  1. 18 January, 01:54
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    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.
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