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A man swims 5 km downstream in 1 hour. If the speed of the current is 1 km/hr, in how many minutes can he swim 200 meters upstream?
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A man swims 5 km downstream in 1 hour. If the speed of the current is ...
Understanding the Problem
To solve the problem, we need to determine the man's swimming speed and then calculate the time it takes him to swim 200 meters upstream.
Step 1: Determine the Swimming Speed
- The man swims 5 km downstream in 1 hour.
- Therefore, his downstream speed is 5 km/hr.
- The speed of the current is given as 1 km/hr.
Step 2: Calculate the Man's Swimming Speed
- The downstream speed can be expressed as:
- Downstream speed = Man's swimming speed + Current speed
- 5 km/hr = Man's swimming speed + 1 km/hr
- Rearranging this gives us:
- Man's swimming speed = 5 km/hr - 1 km/hr = 4 km/hr
Step 3: Calculate Upstream Speed
- When swimming upstream, the current opposes him:
- Upstream speed = Man's swimming speed - Current speed
- Upstream speed = 4 km/hr - 1 km/hr = 3 km/hr
Step 4: Convert Upstream Speed to Meters per Minute
- 3 km/hr can be converted to meters per minute:
- 3 km/hr = 3000 meters/60 minutes = 50 meters/minute
Step 5: Calculate Time to Swim 200 Meters Upstream
- Time = Distance / Speed
- To swim 200 meters upstream:
- Time = 200 meters / 50 meters/minute = 4 minutes
Conclusion
Thus, the man can swim 200 meters upstream in 4 minutes, confirming that the correct answer is option 'D'.
To solve the problem, we need to determine the man's swimming speed and then calculate the time it takes him to swim 200 meters upstream.
Step 1: Determine the Swimming Speed
- The man swims 5 km downstream in 1 hour.
- Therefore, his downstream speed is 5 km/hr.
- The speed of the current is given as 1 km/hr.
Step 2: Calculate the Man's Swimming Speed
- The downstream speed can be expressed as:
- Downstream speed = Man's swimming speed + Current speed
- 5 km/hr = Man's swimming speed + 1 km/hr
- Rearranging this gives us:
- Man's swimming speed = 5 km/hr - 1 km/hr = 4 km/hr
Step 3: Calculate Upstream Speed
- When swimming upstream, the current opposes him:
- Upstream speed = Man's swimming speed - Current speed
- Upstream speed = 4 km/hr - 1 km/hr = 3 km/hr
Step 4: Convert Upstream Speed to Meters per Minute
- 3 km/hr can be converted to meters per minute:
- 3 km/hr = 3000 meters/60 minutes = 50 meters/minute
Step 5: Calculate Time to Swim 200 Meters Upstream
- Time = Distance / Speed
- To swim 200 meters upstream:
- Time = 200 meters / 50 meters/minute = 4 minutes
Conclusion
Thus, the man can swim 200 meters upstream in 4 minutes, confirming that the correct answer is option 'D'.
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Community Answer
A man swims 5 km downstream in 1 hour. If the speed of the current is ...
US = 5 – 2 = 3 km/hr
Hence, Option D is correct.
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Question Description
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