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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)37/2 km/h
- d)13/2 km/h
Correct answer is option 'A'. Can you explain this answer?
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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
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∴ 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
Most Upvoted Answer
A carriage driving in a fog passed a man who was walking at the rate ...
To find the speed of the carriage, we need to calculate the distance it covers in 4 minutes and convert it to kilometers per hour.
Let's start by calculating the distance the man walked in 4 minutes. We know that he walks at a rate of 3 km/h, so in 1 minute he would cover 3/60 = 1/20 km. Therefore, in 4 minutes, he would cover 4 * (1/20) = 1/5 km.
Since the man could see the carriage for 4 minutes, it means that the carriage took 4 minutes to cover a distance that was visible to the man. We also know that the man could see the carriage up to a distance of 100 m.
Now, let's convert the distance visible to the man into kilometers. Since 1 km = 1000 m, 100 m is equal to 100/1000 = 1/10 km.
So, in 4 minutes, the carriage covered a distance of 1/10 km according to the man's observation.
To find the speed of the carriage, we divide the distance covered by the time taken. The speed of the carriage can be calculated as:
Speed = Distance / Time = (1/10) km / 4 min
To convert the time from minutes to hours, we divide it by 60 since 1 hour = 60 minutes.
Speed = (1/10) km / (4/60) h = (1/10) * (60/4) km/h = 6/40 km/h = 3/20 km/h
Simplifying further, we get:
Speed = (3/20) * (20/20) km/h = 3/20 km/h
Therefore, the speed of the carriage is 3/20 km/h.
Now, let's compare the calculated speed with the given options:
a) 9/2 km/h
b) 11/2 km/h
c) 37/2 km/h
d) 13/2 km/h
None of the given options matches the calculated speed of 3/20 km/h. Therefore, none of the given options is the correct answer for this question.
Let's start by calculating the distance the man walked in 4 minutes. We know that he walks at a rate of 3 km/h, so in 1 minute he would cover 3/60 = 1/20 km. Therefore, in 4 minutes, he would cover 4 * (1/20) = 1/5 km.
Since the man could see the carriage for 4 minutes, it means that the carriage took 4 minutes to cover a distance that was visible to the man. We also know that the man could see the carriage up to a distance of 100 m.
Now, let's convert the distance visible to the man into kilometers. Since 1 km = 1000 m, 100 m is equal to 100/1000 = 1/10 km.
So, in 4 minutes, the carriage covered a distance of 1/10 km according to the man's observation.
To find the speed of the carriage, we divide the distance covered by the time taken. The speed of the carriage can be calculated as:
Speed = Distance / Time = (1/10) km / 4 min
To convert the time from minutes to hours, we divide it by 60 since 1 hour = 60 minutes.
Speed = (1/10) km / (4/60) h = (1/10) * (60/4) km/h = 6/40 km/h = 3/20 km/h
Simplifying further, we get:
Speed = (3/20) * (20/20) km/h = 3/20 km/h
Therefore, the speed of the carriage is 3/20 km/h.
Now, let's compare the calculated speed with the given options:
a) 9/2 km/h
b) 11/2 km/h
c) 37/2 km/h
d) 13/2 km/h
None of the given options matches the calculated speed of 3/20 km/h. Therefore, none of the given options is the correct answer for this question.
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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)37/2 km/hd)13/2 km/hCorrect answer is option 'A'. Can you explain this answer?
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