A student reads 2/5 of a book in 45 minutes. How much of the book will be read if the student reads at the same speed for 70 minutes?

2 Answers
Barney V.
Mar 27, 2017

#3/5=67.5# minutes He will read a bit more than #3/5# of the book

Explanation:

#2/5 # of the book in #45# minutes

#:.3/5# at the same rate:

#:.=(3/5)/(2/5) xx 45# minutes

#:.=3/cancel5 xx cancel5/2 xx 45/1#

#:.=135/2=67.5#minutes #3/5# of the book

The first #2/5# took #45# minutes to read
The 2nd#3/5# took #67.5# minutes

#:.70-67.5=2.5# minutes

He will read a bit more than #3/5# of the book

EZ as pi
Mar 28, 2017

#28/45# of the book will be read.

Explanation:

This can be treated as a direct proportion: MORE time is spent reading, the MORE pages of the book will be read.

#2/5 = 0.4#

#0.4/45 = x/70" "larr x # is the fraction of the book read

#45x = 0.4 xx70#

#x = (0.4 xx 70)/45#

#x =28/45#

Note that the question does NOT ask, how much would have been read if the student reads for a FURTHER 45 minutes, simply what fraction would be read in a time or 45 minutes.

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