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When running a mile during a recent track meet, Nuria was

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by AAPL » Wed Aug 29, 2018 4:58 am

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Veritas Prep

When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?

A. 5 minutes, 17.6 seconds
B. 5 minutes, 21.8 seconds
C. 5 minutes, 43.56 seconds
D. 5 minutes, 44.44 seconds
E. 6 minutes, 10.4 seconds

OA E
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When running a mile during a recent track meet, Nuria was in

by fskilnik@GMATH » Wed Aug 29, 2018 6:10 am
AAPL wrote:Veritas Prep

When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?

A. 5 minutes, 17.6 seconds
B. 5 minutes, 21.8 seconds
C. 5 minutes, 43.56 seconds
D. 5 minutes, 44.44 seconds
E. 6 minutes, 10.4 seconds
Good problem!
\[? = 5\min 44{\text{s}} + \frac{{11}}{{25}}\min \]

\[\frac{{11}}{{25}}\min \,\,\left( {\frac{{60{\text{s}}}}{{1\min }}} \right)\,\,\, = \,\,\,\frac{{11 \cdot 12}}{5}{\text{s}}\,\,\,\mathop = \limits^{\left( * \right)} \,\,\,26\frac{2}{5}{\text{s}}\]

\[\left( * \right)\,\,\,\frac{{\left( {10 + 1} \right) \cdot 12}}{5} = \underleftrightarrow {2 \cdot 12 + \frac{{12}}{5} = 24 + \frac{{10 + 2}}{5}} = 26\frac{2}{5}{\text{s}}\]

\[? = 5\min 44s + 16s + 10s + \frac{2}{5}s = 6\min 10.4\,{\text{s}}\]

The above follows the notations and rationale taught in the GMATH method.

POST-MORTEM: the alternative choices help you avoid the precise calculations above, BUT I think they are very instructive...
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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by swerve » Wed Aug 29, 2018 9:27 am
A first way to solve it:
The stopwatch starts to work after Nuria began her running. It means the time should be greater than credited 5 minutes, 44 seconds.
The only number is 6 minutes, 10.4 seconds.

A second way to solve it:
11/25 close to 30 seconds when added to the 5 minutes, 44 seconds, it means passes 6 minutes.

Regards.
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by Jeff@TargetTestPrep » Wed Sep 05, 2018 9:42 am
AAPL wrote:Veritas Prep

When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?

A. 5 minutes, 17.6 seconds
B. 5 minutes, 21.8 seconds
C. 5 minutes, 43.56 seconds
D. 5 minutes, 44.44 seconds
E. 6 minutes, 10.4 seconds
11/25 minutes is 11/25 x 60 = 11/5 x 12 = 26.4 seconds

Thus, her actual time was 5 minutes 44 seconds + 26.4 seconds = 5 minutes 70.4 seconds = 6 minutes 10.4 seconds

Answer: E

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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