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A carriage driving in a fog passed a man who was walking at the rate of 3 km an hour in the same direction. He could see the carriage for 4 minutes and it was visible to him upto a distance of 100 m. What was the speed of the carriage?
  • a)
    9/2 km/h
  • b)
    11/2 km/h
  • c)
    7/2 km/h
  • d)
    13/2 km/h
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A carriage driving in a fog passed a man who was walking at the rate ...
The distance travelled by the man in 4 min = [(3×1000)/60] ×4=200 meters
∴ distance travelled by the carriage in 4 min = (200 + 100) = 300 meters
∴ speed of the carriage = (300/4)×(60/1000) km/hour
= 9/2 km/hour
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Most Upvoted Answer
A carriage driving in a fog passed a man who was walking at the rate ...
Given:
Speed of man = 3 km/h
Time carriage was visible to him = 4 minutes = 4/60 hours = 1/15 hours
Distance till which carriage was visible to him = 100 m

To find: Speed of carriage

Let the speed of carriage be x km/h
Relative speed of carriage and man = (x-3) km/h
As the carriage was visible to the man for 4 minutes, it covered a distance of (x-3) * (1/15) km
As the carriage was visible up to a distance of 100 m, it covered a distance of 0.1 km

So, (x-3) * (1/15) = 0.1
x-3 = 1.5
x = 4.5 km/h

Therefore, the speed of the carriage is 4.5 km/h, which is equivalent to option A (9/2 km/h).
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A carriage driving in a fog passed a man who was walking at the rate of 3 km an hour in the same direction. He could see the carriage for 4 minutes and it was visible to him upto a distance of 100 m. What was the speed of the carriage?a)9/2 km/hb)11/2 km/hc)7/2 km/hd)13/2 km/hCorrect answer is option 'A'. Can you explain this answer?
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