A delivery coach covers a path of 210 km in 3 hours 30 minutes. What should be its speed to wrap the same distance in exactly 3 hours? MCQ with Answer and Explanation
A train 125 meters long passes a running man in 10 seconds when both move in the same direction. If the speed of the man is 5 km/h, find the speed of the train.
Explanation:
Relative speed = 125 / 10 = 12.5 m/s = (12.5) * (18/5) = 45 km/h. In the same direction, Relative Speed = Speed of train - Speed of man => 45 = Speed of train - 5 => Speed of train = 50 km/h.
A man covers 2/3 of a journey at 40 km/h, 1/4 of the journey at 30 km/h and the remainder at 10 km/h. What is his average speed for the entire journey?
Explanation:
Let the total distance be 120 km. First part = (2/3) * 120 = 80 km; Time = 80 / 40 = 2 hours. Second part = (1/4) * 120 = 30 km; Time = 30 / 30 = 1 hour. Remainder = 120 - 80 - 30 = 10 km; Time = 10 / 10 = 1 hour. Total time = 2 + 1 + 1 = 4 hours. Average speed = 120 / 4 = 32 km/h.
A passenger locomotive 150 meters long clears a pedestrian tracking on the lines in 10 seconds flat when both proceed along the same direction. If the pedestrian walks at 4 km/h, find the train speed.
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