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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] New post 08 Sep 2005, 00:47
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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 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.

(This is a repeat of another post. My apologies!)

Last edited by trulyblessed on 08 Sep 2005, 08:44, edited 1 time in total.
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 [#permalink] New post 08 Sep 2005, 05:48
Let the time taken to drive by Sue be t, so the time taken by Bill is 3t.

Statement 1: Distance driven by Sue is 10, so the rate at which Sue drove was 10/t and this is equal to Bill's rate, therefore the distance travelled by Bill is 10/t * 3t = 30

Statement 2: Since we do not know the total number of hours Sue took to drive, this is not useful.

Please do not post the OA along with the question.
  [#permalink] 08 Sep 2005, 05:48
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On a certain day it took Bill three times as long to drive

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