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# M70-15

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Math Expert
Joined: 02 Sep 2009
Posts: 50730

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03 Sep 2018, 03:20
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Difficulty:

(N/A)

Question Stats:

67% (00:14) correct 33% (00:17) wrong based on 3 sessions

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If the ratio of sleeping hours to waking hours is $$1:3$$, what is the ratio of waking hours to the total number of hours in a day?

A. $$1:4$$
B. $$1:3$$
C. $$3:4$$
D. $$14:1$$
E. $$18:1$$

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Math Expert
Joined: 02 Sep 2009
Posts: 50730

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03 Sep 2018, 03:20
Official Solution:

If the ratio of sleeping hours to waking hours is $$1:3$$, what is the ratio of waking hours to the total number of hours in a day?

A. $$1:4$$
B. $$1:3$$
C. $$3:4$$
D. $$14:1$$
E. $$18:1$$

We’ll go for PRECISE because all the information we need is in the question.

If the ratio between two parts that make up a whole is $$x$$ and $$y$$, then the ratio between $$x$$ and the whole is $$x:(x+y)$$; thus, waking hours to total hours is $$3:(3+1) = 3:4$$.

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Re M70-15 &nbs [#permalink] 03 Sep 2018, 03:20
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# M70-15

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