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16 Sep 2014, 00:51
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If an athlete ran the first half of a 200-meter race in 10 seconds and the second half in 12 seconds, how much faster was his average speed during the first half compared to the second?
A. 2.0 km/h
B. 3.0 km/h
C. 3.6 km/h
D. 6.0 km/h
E. 7.2 km/h
A. 2.0 km/h
B. 3.0 km/h
C. 3.6 km/h
D. 6.0 km/h
E. 7.2 km/h
16 Sep 2014, 00:51
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Official Solution:
If an athlete ran the first half of a 200-meter race in 10 seconds and the second half in 12 seconds, how much faster was his average speed during the first half compared to the second?
A. 2.0 km/h
B. 3.0 km/h
C. 3.6 km/h
D. 6.0 km/h
E. 7.2 km/h
The runner's average speed for the first 100 meters was \(\frac{100}{10}=10\) m/s, which is equivalent to \(3600*\frac{10}{1000} = 36\) km/h.
For the second 100 meters, the average speed was \(\frac{100}{12}\) m/s or \(3600*\frac{100}{12 *1000} = 30\) km/h.
The difference, therefore, is 6 km/h.
Answer: D
If an athlete ran the first half of a 200-meter race in 10 seconds and the second half in 12 seconds, how much faster was his average speed during the first half compared to the second?
A. 2.0 km/h
B. 3.0 km/h
C. 3.6 km/h
D. 6.0 km/h
E. 7.2 km/h
The runner's average speed for the first 100 meters was \(\frac{100}{10}=10\) m/s, which is equivalent to \(3600*\frac{10}{1000} = 36\) km/h.
For the second 100 meters, the average speed was \(\frac{100}{12}\) m/s or \(3600*\frac{100}{12 *1000} = 30\) km/h.
The difference, therefore, is 6 km/h.
Answer: D
08 Dec 2016, 13:48
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