A passenger train 100 meters long clears a line worker tracking on the ballast track in 5 seconds flat when both move along the identical direction. If the line worker walks at 8 km/h, find the train speed. MCQ with Answer and Explanation
A passenger train 100 meters long clears a line worker tracking on the ballast track in 5 seconds flat when both move along the identical direction. If the line worker walks at 8 km/h, find the train speed.
A. 84 km/h
B. 80 km/h
C. 88 km/h
D. 76 km/h
Answer: Option B
Solution (By JKExamLibrary)
Relative tracking speed = 100 / 5 = 20 m/s = 20 * (18/5) = 72 km/h. In identical directions, Relative Speed = Speed of train - Speed of worker => 72 = Speed of train - 8 => Speed of train = 80 km/h.
The speed of a boat in still water is 14 km/h and the speed of the current is 4 km/h. How much time will the boat take to cover a distance of 72 km downstream?
Explanation:
Downstream speed = Speed in still water + Speed of current = 14 + 4 = 18 km/h. Time taken = Distance / Downstream speed = 72 / 18 = 4 hours.
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