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. MCQ with Answer and Explanation
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.
A. 30 km
B. 36 km
C. 26 km
D. 34 km
Answer: Option A
Solution (By JKExamLibrary)
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 high-speed train clears a structural platform watchpost signal pillar in 6 seconds and passes across the full platform itself, which measures 200 meters long, in 16 seconds. Find the speed index of the train in km/h.
Explanation:
Time taken to cross the platform span alone = 16 - 6 = 10 seconds. Speed of train = 200 / 10 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.
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