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A boat, while going upstream, covers a distance of 10 km in 30 minutes and while running down stream, it covers the same distance in 25 minutes. What is the speed of the current in km/hr.
- a)20
- b)2
- c)2.2
- d)Cannot be determined
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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A boat, while going upstream, covers a distance of 10 km in 30 minutes...
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A boat, while going upstream, covers a distance of 10 km in 30 minutes...
Given data:
Upstream distance covered in 30 minutes = 10 km
Downstream distance covered in 25 minutes = 10 km
To find:
The speed of the current in km/hr
Solution:
Let's assume that the speed of the boat is x km/hr and the speed of the current is y km/hr.
Speed of the boat in still water = (speed of boat + speed of current)
Speed of the boat while going upstream = (x - y)
Speed of the boat while going downstream = (x + y)
Distance = Speed × Time
Upstream distance covered in 30 minutes = (x - y) × (30/60) = (x - y)/2 × 10 = 10 km
=> (x - y) = 20 km/hr
Downstream distance covered in 25 minutes = (x + y) × (25/60) = (x + y)/2 × 10 = 10 km
=> (x + y) = 24 km/hr
Adding both the equations, we get:
2x = 44 km/hr
=> x = 22 km/hr (Speed of the boat in still water)
Substituting the value of x in any one equation, we get:
y = 2 km/hr (Speed of the current)
Therefore, the speed of the current is 2 km/hr. Hence, the correct answer is option (B).
Upstream distance covered in 30 minutes = 10 km
Downstream distance covered in 25 minutes = 10 km
To find:
The speed of the current in km/hr
Solution:
Let's assume that the speed of the boat is x km/hr and the speed of the current is y km/hr.
Speed of the boat in still water = (speed of boat + speed of current)
Speed of the boat while going upstream = (x - y)
Speed of the boat while going downstream = (x + y)
Distance = Speed × Time
Upstream distance covered in 30 minutes = (x - y) × (30/60) = (x - y)/2 × 10 = 10 km
=> (x - y) = 20 km/hr
Downstream distance covered in 25 minutes = (x + y) × (25/60) = (x + y)/2 × 10 = 10 km
=> (x + y) = 24 km/hr
Adding both the equations, we get:
2x = 44 km/hr
=> x = 22 km/hr (Speed of the boat in still water)
Substituting the value of x in any one equation, we get:
y = 2 km/hr (Speed of the current)
Therefore, the speed of the current is 2 km/hr. Hence, the correct answer is option (B).
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A boat, while going upstream, covers a distance of 10 km in 30 minutes and while running down stream, it covers the same distance in 25 minutes. What is the speed of the current in km/hr.a)20b)2c)2.2d)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?
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