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On a certain day it took Bill three times as long to drive from home
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Updated on: 30 Sep 2022, 14:30
Updated on: 30 Sep 2022, 14:30
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On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work?
(1) Sue drove 10 kilometers from home to work, and the ratio of \(\frac{(distance \ driven \ from \ home \ to \ work)}{(time \ to \ drive \ from \ home \ to \ work)}\) was the same for Bill and Sue that day.
(2) The ratio of \(\frac{(distance \ driven \ from \ home \ to \ work)}{(time \ to \ drive \ from \ home \ to \ work)}\) for Sue that day was 64 kilometers per hour.
(1) Sue drove 10 kilometers from home to work, and the ratio of \(\frac{(distance \ driven \ from \ home \ to \ work)}{(time \ to \ drive \ from \ home \ to \ work)}\) was the same for Bill and Sue that day.
(2) The ratio of \(\frac{(distance \ driven \ from \ home \ to \ work)}{(time \ to \ drive \ from \ home \ to \ work)}\) for Sue that day was 64 kilometers per hour.
On a certain day it took Bill three times as long to drive from home
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15 Dec 2009, 04:22
15 Dec 2009, 04:22
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On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work?
{Bill's Time} = 3*{Sue's Time}
(1) Sue drove 10 kilometers from home to work, and the ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day.
Sue's distance = 10km,
The ratio of distance to time is rate of speed, so we are told that Bill's speed is the same as Sue's. As Bill's time was three times longer, with the same rate he would cover 3 times more distance than Sue did.
{Bill's distance} = 3*{Sue's distance} = 3*10 = 30km.
Sufficient.
(2) The ratio of distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour. Only rate of Sue is given. Not sufficient.
Answer: A.
{Bill's Time} = 3*{Sue's Time}
(1) Sue drove 10 kilometers from home to work, and the ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day.
Sue's distance = 10km,
The ratio of distance to time is rate of speed, so we are told that Bill's speed is the same as Sue's. As Bill's time was three times longer, with the same rate he would cover 3 times more distance than Sue did.
{Bill's distance} = 3*{Sue's distance} = 3*10 = 30km.
Sufficient.
(2) The ratio of distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour. Only rate of Sue is given. Not sufficient.
Answer: A.
General Discussion
Re: On a certain day it took Bill three times as long to drive from home
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15 Dec 2009, 08:19
15 Dec 2009, 08:19
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.
