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. 4.54 meters
B. 5.25 meters
C. 4.76 meters
D. 5.00 meters
Answer: Option C
Solution (By JKExamLibrary)
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.
A student walks from his quarter block to the academy center at 4 km/h and arrives 8 minutes late. If he manages a pace of 5 km/h, he arrives 4 minutes early. Find the track distance.
Excluding operational station stops, a city bus routes at an average of 42 km/h, and including stops its net average speed is 35 km/h. For how many minutes does it stop per hour?
A train leaves a station at 4:00 PM and travels at an average speed of 60 km/h. Another train leaves the same station at 5:00 PM in the same direction at an average speed of 80 km/h. At what time will the second train catch up with the first train?
Explanation:
By 5:00 PM, the first train has traveled for 1 hour and covered 60 km. Relative speed = 80 - 60 = 20 km/h. Time needed to catch up = 60 / 20 = 3 hours. Catch up time = 5:00 PM + 3 hours = 8:00 PM.
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