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

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On a certain day it took Bill three times as long to drive [#permalink]

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21 Aug 2003, 20:45
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

aps_can wrote:
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 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 distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour.

Icould solve the problem but my main idea is to get a little clarification on the wording i.e. "ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day" how to put this statement into a ratio and whate exactly is the literal meaning of this statement
[/quote]
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23 Aug 2003, 15:25
AkamaiBrah wrote:
aps_can wrote:
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 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 distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour.

Icould solve the problem but my main idea is to get a little clarification on the wording i.e. "ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day" how to put this statement into a ratio and whate exactly is the literal meaning of this statement
[/quote]

1 says Speed for both is same and sue travels 10 km ..not sufficient

2 says Sue's speed is 64 Km/hr...not sufficient

Combine, we get Sue's time is 10/64

Bills time is 30/64 ( Bill's time is three times as long as Sue)

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26 Aug 2003, 08:43
AkamaiBrah wrote:
aps_can wrote:
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 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 distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour.

Icould solve the problem but my main idea is to get a little clarification on the wording i.e. "ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day" how to put this statement into a ratio and whate exactly is the literal meaning of this statement
[/quote]

Statement (1) gives us that Speed of Bill = Speed of Sue

This means that Distance Bill travelled = Distance Sue travelled*3 = 30

Statement (2) gives that Sue's speed = 64 km/hr, which does not allow us to compute a unique value for Bills's distance

Therefore A

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26 Aug 2003, 10:12
Answer is A. Thanks for clarifying my doubts

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28 Aug 2003, 01:17
Interesting word problem but it is very difficult to read it.

aps_can
Is this an exact wording of the source or it reads "the ratio of distance driven from home to work / time to drive from home to work was the same for Bill and Sue"?
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28 Aug 2003, 01:17
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