Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapters 1-9 - Cumulative Review Exercises: 31

Answer

It will take Rich around 54 minutes to read 30 pages.

Work Step by Step

Let $x$ = the time it will take Rich to read 30 pages. Rich spends 25 minutes to read 14 pages. Rich spends $x$ minutes to read 30 pages. Assuming Rich reads at a constant rate, then ratio and proportion can be sude to solve this problem. Setting up the ratio and proportion gives $$\dfrac{25}{14} = \dfrac{x}{30}$$ Cross-multiply to obtain: $$14(x) = 30(25) \\14x=750 \\\dfrac{14x}{14} = \dfrac{750}{14} \\x=\dfrac{375}{7} \\x=53.57142857 \\x \approx 54$$ Thus, it will take Rich around 54 minutes to read 30 pages.
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