Four examiners evaluate certain number of papers in 8 days working 5 hours a day. if deraminers evaluate twice the number of papers in 20 days then how many hours per day should they work?
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Solution:
Let the number of papers be x.
Fraction of each day by four examiners = x/8
The fraction in an hour = x/8 ÷ 4
= x/8 × 5 = x/40
Each examiner solve fraction in 1 hour = x/40 ÷ 4
= x/40 × 1/4
= x/160
2 examiners solve twice the number of papers in 20 days
Twice the work = 2 × x = 2x
Work for 20 days.
In 1 day x/20 = x/10 of the papers
1 examiner take = x/160 in hour
So, 2 examiners = x/160 × 2 = x/80
Thus, 2 examiners can solve x/80 of the papers in 1 hour.
If x/80 is 1 hour, how long will take x/10.
x/80 = 1 hour
So, x/10 = 1 hour × x/10 ÷ x/80
= 1 × x/10 ×80/x
= 80/10 hours
= 8 hours
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