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Re: When running a mile during a recent track meet, Nuria was initially [#permalink]
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Bunuel wrote:
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


One approach:
The watch starts to work after Nuria began his running. It means the time should be greater than credited 5 minutes, 44 seconds. The only number is 6 minutes, 10.4 seconds.

Another approach:
11/25 close to 30 second when added to the 5 minutes, 44 seconds, it means it passes 6 minute.


Answer: E
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Re: When running a mile during a recent track meet, Nuria was initially [#permalink]
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Bunuel wrote:
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
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Re: When running a mile during a recent track meet, Nuria was initially [#permalink]
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Bunuel wrote:
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


Time 1 = 5 min 44 secs

Delay = 11/25 * 60 secs

Delay = 132/5 secs

= 26.4 secs

Actual time = 5 : 44 + 0 : 26.4

= 6 : 10.4 secs

Hence(E)
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When running a mile during a recent track meet, Nuria was initially [#permalink]
Expert Reply
AkshdeepS wrote:
Bunuel wrote:
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


\(? = 5\min 44{\text{s}} + \frac{{11}}{{25}}\min\)

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

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

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

POST-MORTEM: the alternative choices help you avoid the precise calculations above, BUT I think they are very instructive...

The above follows the notations and rationale taught in the GMATH method.
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Re: When running a mile during a recent track meet, Nuria was initially [#permalink]
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Hi All,

We're told that 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? Based on the 'spread' of the answer choices, you can actually answer this question with almost no math at all; paying attention to the information that you're given - along with a little logic - can get you the correct answer rather quickly.

We know that Nuria was timed at 5 minutes 44 seconds, but the stop watch was NOT started until almost HALF OF A MINUTE had gone by. Thus, Nuria's actual time is greater than 5 minutes 44 second - almost HALF A MINUTE greater. There's only one answer that makes sense...

Final Answer:

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Re: When running a mile during a recent track meet, Nuria was initially [#permalink]
Hello,

You can get the answer in less than 20 seconds.

If the time didn't start right away, the total time should be 5Minutes 44 Second Plus Some time.. The answer should be > 5minutes 44 seconds..

When you look at the answer choices, there is only one answer that is more than 5M and 44S, which is E....
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Re: When running a mile during a recent track meet, Nuria was initially [#permalink]
The initial time recorded = 5 minutes 44 seconds

Since the stopwatch began after 11/25 of a minute after she began, the lapsed time will be added to the recorded time.

Thus, the actual time taken by Nuria = 5 minutes 44 seconds + (11/25)*60 seconds.

Actual time = 6 minutes 10.4 seconds.

Thus, the correct option is E.
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Re: When running a mile during a recent track meet, Nuria was initially [#permalink]
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