A delivery coach covers a highway stretch at 40 km/h. If the driver spikes the speed index to 60 km/h, the coach lands at the station terminal 15 minutes early. Find the track sector distance.
Explanation:
Time difference = 15 minutes = 15/60 = 1/4 hours. Let distance be d. d / 40 - d / 60 = 1/4 => (3d - 2d) / 120 = 1/4 => d / 120 = 1/4 => d = 30 km.
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.
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