A runner covers a 100-meter race. The winner finishes in 10 seconds while the runner-up finishes in 10.5 seconds. By what distance does the winner beat the runner-up? MCQ with Answer and Explanation
A runner covers a 100-meter race. The winner finishes in 10 seconds while the runner-up finishes in 10.5 seconds. By what distance does the winner beat the runner-up?
A. 4.76 meters
B. 4.54 meters
C. 5.00 meters
D. 5.25 meters
Answer: Option A
Solution (By JKSSB Mock Tests)
Speed of the runner-up = 100 / 10.5 = 200 / 21 m/s. Distance covered by the runner-up in 10 seconds = (200 / 21) * 10 = 2000 / 21 = 95.24 meters. Distance winner beats runner-up by = 100 - 95.24 = 4.76 meters.
Explanation:
Speed of B = 400 / 50 = 8 m/s. Distance covered by B when A crosses the finish line at 44 seconds = 8 * 44 = 352 meters. Winning margin = 400 - 352 = 48 meters.
Explanation:
New speed = 5/6 of usual speed => New time = 6/5 of usual time. Difference = 1/5 of usual time = 15 minutes. Typical baseline time parameter = 15 * 5 = 75 minutes.
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