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A swimmer can cover 14 km in 2 hours, swimming in the direction of stream which is flowing at 3 km/hr. How much time will he take to cover the same distance against the stream?
- a)5 hours
- b)7 hours
- c)hours
- d)14 hours
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A swimmer can cover 14 km in 2 hours, swimming in the direction of str...
⇒ Downstream speed = 7 km/h
⇒ Speed of stream = 3 km/h
Speed of stream = 1/2 (Downstream speed – Upstream speed)
⇒ 3 = ½ (7 – Upstream speed)
⇒ Upstream speed = 7 – 6 = 1 km/h
∴ Time taken during upstream = 14/1 = 14 hours
⇒ Speed of stream = 3 km/h
Speed of stream = 1/2 (Downstream speed – Upstream speed)
⇒ 3 = ½ (7 – Upstream speed)
⇒ Upstream speed = 7 – 6 = 1 km/h
∴ Time taken during upstream = 14/1 = 14 hours
Most Upvoted Answer
A swimmer can cover 14 km in 2 hours, swimming in the direction of str...
Understanding the Problem
In this problem, we need to calculate the time a swimmer takes to cover 14 km against the current of a stream.
Given Data
- Distance covered = 14 km
- Time taken in the direction of the stream = 2 hours
- Speed of the stream = 3 km/hr
Calculating Speed of the Swimmer
1. Speed in the direction of the stream:
- The swimmer's effective speed with the stream can be calculated as:
- Speed = Distance / Time
- Speed = 14 km / 2 hr = 7 km/hr
2. Swimmer's speed in still water:
- Since the effective speed with the stream is the sum of the swimmer's speed in still water (S) and the speed of the stream (3 km/hr):
- S + 3 km/hr = 7 km/hr
- S = 7 km/hr - 3 km/hr = 4 km/hr
Calculating Time Against the Stream
1. Effective speed against the stream:
- When swimming against the current, the swimmer's speed reduces:
- Effective speed = Swimmer's speed - Speed of the stream
- Effective speed = 4 km/hr - 3 km/hr = 1 km/hr
2. Time to cover the same distance against the stream:
- Time = Distance / Effective speed
- Time = 14 km / 1 km/hr = 14 hours
Final Answer
Thus, the swimmer will take 14 hours to cover the same distance against the stream. This makes option 'D' the correct answer.
In this problem, we need to calculate the time a swimmer takes to cover 14 km against the current of a stream.
Given Data
- Distance covered = 14 km
- Time taken in the direction of the stream = 2 hours
- Speed of the stream = 3 km/hr
Calculating Speed of the Swimmer
1. Speed in the direction of the stream:
- The swimmer's effective speed with the stream can be calculated as:
- Speed = Distance / Time
- Speed = 14 km / 2 hr = 7 km/hr
2. Swimmer's speed in still water:
- Since the effective speed with the stream is the sum of the swimmer's speed in still water (S) and the speed of the stream (3 km/hr):
- S + 3 km/hr = 7 km/hr
- S = 7 km/hr - 3 km/hr = 4 km/hr
Calculating Time Against the Stream
1. Effective speed against the stream:
- When swimming against the current, the swimmer's speed reduces:
- Effective speed = Swimmer's speed - Speed of the stream
- Effective speed = 4 km/hr - 3 km/hr = 1 km/hr
2. Time to cover the same distance against the stream:
- Time = Distance / Effective speed
- Time = 14 km / 1 km/hr = 14 hours
Final Answer
Thus, the swimmer will take 14 hours to cover the same distance against the stream. This makes option 'D' the correct answer.
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A swimmer can cover 14 km in 2 hours, swimming in the direction of stream which is flowing at 3 km/hr. How much time will he take to cover the same distance against the stream?a)5 hoursb)7 hoursc)hoursd)14 hoursCorrect answer is option 'D'. Can you explain this answer?
Question Description
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