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# On a certain day it took Bill three times as long to drive from home

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Re: On a certain day it took Bill three times as long to drive from home [#permalink]
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dobinnoli
thank you Bunuel....but am I wrong to assume that they may have driven the same distance, however, Bill just took a longer time?! That was why I got stuck in asnwering the question. ANy advice you offer will be appreciated.

Let's do this algebraically:

Bill's Time =3* Sue's Time --> $$Bt=3*St$$

(1) Sue's distance 10km --> $$Sd=10$$

$$\frac{Sd}{St}=\frac{Bd}{Bt}$$ -->

$$\frac{10}{St}=\frac{Bd}{3*St}$$ -->

$$Bd=30$$

As for your question: statement 1 tells us that Bill's and Sue's rates are the same, and Bill spent 3 times more time to cover his distance. Obviously distances can not be the same if rates are same and time are not as Distance=Time*Rate.

Hope it's clear.
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Re: On a certain day it took Bill three times as long to drive from home [#permalink]
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Re: On a certain day it took Bill three times as long to drive from home [#permalink]
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