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What distance did Jane travel?

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Source: — Data Sufficiency |
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by fskilnik@GMATH » Thu Dec 13, 2018 4:56 am

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

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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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