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30 May, 17:31

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?

A. 10%

B. 15%

C. 20%

D. 25%

E. 30%

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Answers (1)
  1. 30 May, 21:23
    0
    C, 20%

    Step-by-step explanation:

    First we are told that she has 3 hours to grade 35 student papers, and she has 30 minutes to grade 5 paper, now we calculate how long it took her to grade 1 paper.

    Part1

    if 5papers = 30minutes

    therefore 1paper = (30*1) / 5 = 6mins per paper.

    now we are left with 2hrs 30mins (150 mins) to grade 30papers

    Part2

    if 30papers = 150minutes

    therefore 1paper = (150*1) / 30 = 5mins per paper.

    to calculate how fast she has to be in relation to the first part

    we substract:

    (6mins - 5mins) / 5mins * 100 = 1/5 * 100 = 20%.
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