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06.05.2020 •
Mathematics
Kasha reads 60 pages in 1 5/12 hour. Kasha wants to read 120 pages. how many hours in all will it take him to read 120 pages?
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Ответ:
2 5/6 hours
Step-by-step explanation:
The elements given and to be determined by the question involves the number of pages read and the time spent in reading this number of pages. It can be inferred that as the number of pages increases, so does the time spent in reading.
This means that there is a direct proportionality relationship between the number of pages read and the time spent.
If the number of pages read is r and the time spent is t then,
r ∝ t
r = kt where k is the constant of proportionality that states the number of pages read per time
if kasha reads 60 pages in 1 5/12 hour.
60 = k * 1 5/12
k = 60 * 12/17
= 720/17 pages per hour
r = 720/17 t
if Kasha wants to read 120 pages, the number of hours required may be found by
120 = 720/17 * t
t = 120 * 17 /720
= 17/6 hours
= 2 5/6 hours
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