What distance did Jane travel?

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Wed Dec 12, 2018 9:50 pm

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What distance did Jane travel?

(1) Bill traveled 40 miles in 40 minutes.
(2) Jane traveled at the same average rate as Bill.

OA E

Source: Official Guide

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Source: Beat The GMAT — Data Sufficiency | Wed Dec 12, 2018 9:50 pm

fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pmFollowed by: 33 members; Thanked: 59 times

by fskilnik@GMATH » Thu Dec 13, 2018 4:56 am

BTGmoderatorDC wrote:What distance did Jane travel?

(1) Bill traveled 40 miles in 40 minutes.
(2) Jane traveled at the same average rate as Bill.
Source: Official Guide

$$? = {\text{dist}}\,\,{\text{Jane}}$$
$$\left( {1 + 2} \right)\,\,\,\left\{ \matrix{
\,{\rm{Take:}}\,\,{\rm{total}}\,\,{\rm{Jane}}\,\,{\rm{time}}\,\,40\min \,\,{\rm{and}}\,\,\,\,\,?\,\,\, = \,\,\,40\,\,{\rm{miles}}\,\, \hfill \cr
\,{\rm{Take:}}\,\,{\rm{total}}\,\,{\rm{Jane}}\,\,{\rm{time}}\,\,80\min \,\,{\rm{and}}\,\,\,\,?\,\,\, = \,\,\,80\,\,{\rm{miles}}\,\,\,\, \hfill \cr} \right.\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,\,\left( {\rm{E}} \right)$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Thu Dec 13, 2018 5:25 am

BTGmoderatorDC wrote:What distance did Jane travel?

(1) Bill traveled 40 miles in 40 minutes.
(2) Jane traveled at the same average rate as Bill.

OA E

Source: Official Guide

Target question: What distance did Jane travel?

Statement 1: Bill traveled 40 miles in 40 minutes.
No info about Jane
Statement 1 is NOT SUFFICIENT

Statement 2: Jane traveled at the same average rate as Bill
We don't know Bill's speed (rate)
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that Bill traveled at a rate of 1 mile per minute
Statement 2 tells us that Jane also traveled at a rate of 1 mile per minute
Great - we know Jane's speed.
However, we have no idea of her travel TIME.

For example, if she traveled for 1 minute, then Jane traveled a distance of 1 mile
However, if she traveled for 10 minutes, then Jane traveled a distance of 10 miles
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Brent Hanneson - Creator of GMATPrepNow.com

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