A train 200 meters long passes a running man in 10 seconds when both move in the same direction. If the speed of the man is 6 km/h, find the speed of the train. MCQ with Answer and Explanation
A train 200 meters long passes a running man in 10 seconds when both move in the same direction. If the speed of the man is 6 km/h, find the speed of the train.
A. 84 km/h
B. 90 km/h
C. 78 km/h
D. 72 km/h
Answer: Option C
Solution (By JKSSB Mock Tests)
Relative speed = 200 / 10 = 20 m/s = 20 * (18/5) = 72 km/h. In the same direction, Relative Speed = Speed of train - Speed of man => 72 = Speed of train - 6 => Speed of train = 78 km/h.
In a 1000-meter race, sprinter A beats sprinter B by 100 meters, and sprinter B beats sprinter C by 50 meters. By how many meters does X beat Z in the same race? (Assume consistent speeds)
Explanation:
When A covers 1000m, B covers 900m. When B covers 1000m, C covers 950m. When B covers 900m, C covers 950 * (900/1000) = 855m. Therefore, A beats C by 1000 - 855 = 145 meters.
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