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A teacher has 3 hours to grade all the papers submitted by the 35 stud

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A teacher has 3 hours to grade all the papers submitted by the 35 stud  [#permalink]

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New post 03 Aug 2019, 22:03
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:50) correct 27% (02:29) wrong based on 55 sessions

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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?

A. 10%
B. 15%
C. 20%
D. 25%
E. 30%

Source: Test Prep Review

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Re: A teacher has 3 hours to grade all the papers submitted by the 35 stud  [#permalink]

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New post 05 Aug 2019, 09:46
The teacher currently grades at the rate of 10papers/hour. In order to grade the remaining 30 papers in 2.5 hours, i.e. 12papers/hour. Hence the teacher should increase her speed by 20%.
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Re: A teacher has 3 hours to grade all the papers submitted by the 35 stud  [#permalink]

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New post 05 Aug 2019, 11:52
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SajjadAhmad wrote:
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%

TPR


total avail time ; 180 mins
correction done 5 papers 30 mins so per paper ; 6 mins
left time ; 150 mins per paper teacher has 150/30 ; 5 mins
so % increase in work required; 6-5/5 ; 1/5 ; 20%
IMO C
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Re: A teacher has 3 hours to grade all the papers submitted by the 35 stud   [#permalink] 05 Aug 2019, 11:52

A teacher has 3 hours to grade all the papers submitted by the 35 stud

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