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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
Re: When running a mile during a recent track meet, Nuria was initially [#permalink]
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01 Mar 2016, 11:48
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.
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.
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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15 Apr 2018, 04:55
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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Re: When running a mile during a recent track meet, Nuria was initially
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15 Apr 2018, 04:55