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On a certain day it took Bill three times as long to drive [#permalink]
21 Mar 2008, 23:33

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

63% (02:44) correct
37% (02:10) wrong based on 42 sessions

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

Question tells us if Sue took t hours to reach office, then Bill took 3t hours.

Statement 1: Tells us that Sue travelled = 10 KM and ratio of distance driven from home to work time (Basically the speed) is same for both Sue and Bill. Sue's speed = 10/t Bill's Speed = D/3t (assuming Bill travelled D KM). So as per this statement 10/t = D/3t => D = 30 KM Question can be answered with this statement alone. Answer can only be A, or D.

Statement 2: Tells us that Sue's speed = 64 KM/Hour. But no relation is given between Sue's speed and Bill's speed so this statement alone is insufficient.

Re: On a certain day it took Bill three times as long to drive [#permalink]
27 May 2014, 07:18

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Re: On a certain day it took Bill three times as long to drive [#permalink]
27 May 2014, 09:24

Expert's post

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.

(2) (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.