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

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

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New post 29 Feb 2016, 10:42
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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

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

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New post 29 Feb 2016, 17:15
11/25=.4400 minute
44 seconds=.7333 minute
.4399+5+.7333=6.1732 minutes=6 minutes, 10.4 seconds
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Re: When running a mile during a recent track meet, Nuria was initially  [#permalink]

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New post 01 Mar 2016, 11:48
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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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New post 18 Jan 2018, 11:34
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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


The long approach is to meticulously convert 11/25 of a minute to seconds, and then ADD that unaccounted time to Nuria's recorded time (of 5 minutes, 44 seconds)
However, when we check the answer choices before performing any calculations (ALWAYS check the answer choices before performing any calculations), we see that most answers are LESS THAN 5 minutes, 44 seconds

Now notice that 11/25 is kind of close to 1/2
So, 11/25 minutes is approximately 1/2 a minute (aka 30 seconds)
When we add 30 seconds to 5 minutes, 44 seconds, we get MORE than 6 minutes.

Answer: E

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

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New post 21 Jan 2018, 19:57
1
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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New post 15 Apr 2018, 04:55
1
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]

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New post 29 Aug 2018, 07:17
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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When running a mile during a recent track meet, Nuria was initially &nbs [#permalink] 29 Aug 2018, 07:17
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