A carriage driving in a fog passed a man who was walking at the rate of 3 km/h in the same direction. He could see the carriage for 4 minutes and it was visible to him up to a distance of 100 meters. What is the speed of the carriage? MCQ with Answer and Explanation
A carriage driving in a fog passed a man who was walking at the rate of 3 km/h in the same direction. He could see the carriage for 4 minutes and it was visible to him up to a distance of 100 meters. What is the speed of the carriage?
A. 6 km/h
B. 5 km/h
C. 4.5 km/h
D. 5.5 km/h
Answer: Option C
Solution (By JKSSB Mock Tests)
Time = 4 minutes = 4/60 = 1/15 hour. Distance = 100 meters = 0.1 km. Relative speed = Distance / Time = 0.1 / (1/15) = 1.5 km/h. Since the carriage moves in the same direction, Relative Speed = Speed of carriage - Speed of man => 1.5 = Speed of carriage - 3 => Speed of carriage = 4.5 km/h.
Excluding regular route passenger stops, the speed of an express coach is 64 km/h and including stops it is 48 km/h. For how many minutes does the coach stop per hour?
A person walks from his house to his office at a speed of 4 km/h and reaches 10 minutes late. If he walks at 5 km/h, he reaches 5 minutes early. Find the distance between his house and office.
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