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16 Sep 2014, 00:59
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If a cyclist is traveling at 34 kilometers per hour, which of the following is closest to his speed in meters per second?
A. 8.12 meters per second
B. 8.92 meters per second
C. 9.45 meters per second
D. 9.98 meters per second
E. 10.14 meters per second
A. 8.12 meters per second
B. 8.92 meters per second
C. 9.45 meters per second
D. 9.98 meters per second
E. 10.14 meters per second
16 Sep 2014, 00:59
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Official Solution:
If a cyclist is traveling at 34 kilometers per hour, which of the following is closest to his speed in meters per second?
A. 8.12 meters per second
B. 8.92 meters per second
C. 9.45 meters per second
D. 9.98 meters per second
E. 10.14 meters per second
Given that 1 kilometer = 1,000 meters, 34 kilometers per hour is \(34 * 1,000 = 34,000\) meters per hour.
Given that 1 hour = 3,600 seconds, 34,000 meters per hour is \(\frac{34,000}{3,600}\) meters per second.
Reducing and calculating the fraction, we find that \(\frac{34,000}{3,600} = \frac{85}{9} = 9\frac{4}{9} = 9.\overline{4}\).
Therefore, the closest answer is 9.45.
Answer: C
If a cyclist is traveling at 34 kilometers per hour, which of the following is closest to his speed in meters per second?
A. 8.12 meters per second
B. 8.92 meters per second
C. 9.45 meters per second
D. 9.98 meters per second
E. 10.14 meters per second
Given that 1 kilometer = 1,000 meters, 34 kilometers per hour is \(34 * 1,000 = 34,000\) meters per hour.
Given that 1 hour = 3,600 seconds, 34,000 meters per hour is \(\frac{34,000}{3,600}\) meters per second.
Reducing and calculating the fraction, we find that \(\frac{34,000}{3,600} = \frac{85}{9} = 9\frac{4}{9} = 9.\overline{4}\).
Therefore, the closest answer is 9.45.
Answer: C
20 Oct 2023, 07:07
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
