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A man can row 15 km per hour downstream and 9 km per hour upstream. The speed (in km/hour) of the boat in still water is:
- a)8
- b)10
- c)12
- d)15
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A man can row 15 km per hour downstream and 9 km per hour upstream. T...
The Speed of Boat in still water = 1/2 (Rate downstream + Rate upstream)
The speed of the boat in still water = 1/2 (15 +9) = 24/2 = 12 km/hr.
Most Upvoted Answer
A man can row 15 km per hour downstream and 9 km per hour upstream. T...
Given information:
Speed downstream = 15 km/hr
Speed upstream = 9 km/hr
To find: Speed of the boat in still water
Let the speed of the boat in still water be x km/hr
Speed of the current = (Speed downstream - Speed upstream)/2
= (15 - 9)/2
= 3 km/hr
Speed downstream = Speed of the boat in still water + Speed of the current
15 = x + 3
x = 12
Therefore, the speed of the boat in still water is 12 km/hr.
Explanation:
To solve this problem, we need to use the concept of the speed of the boat relative to the water and the speed of the boat relative to the ground.
When the boat is moving downstream (i.e., in the direction of the current), the speed of the boat relative to the water is added to the speed of the current. Thus, the speed downstream is given by:
Speed downstream = Speed of the boat in still water + Speed of the current
Similarly, when the boat is moving upstream (i.e., in the opposite direction of the current), the speed of the boat relative to the water is subtracted from the speed of the current. Thus, the speed upstream is given by:
Speed upstream = Speed of the boat in still water - Speed of the current
We are given the values of the speed downstream and speed upstream, and we need to find the speed of the boat in still water. To do so, we can use the fact that the speed of the current is half the difference between the speed downstream and speed upstream:
Speed of the current = (Speed downstream - Speed upstream)/2
Once we have found the speed of the current, we can use the equation for speed downstream to find the speed of the boat in still water.
Solving the equations, we get the speed of the boat in still water as 12 km/hr.
Speed downstream = 15 km/hr
Speed upstream = 9 km/hr
To find: Speed of the boat in still water
Let the speed of the boat in still water be x km/hr
Speed of the current = (Speed downstream - Speed upstream)/2
= (15 - 9)/2
= 3 km/hr
Speed downstream = Speed of the boat in still water + Speed of the current
15 = x + 3
x = 12
Therefore, the speed of the boat in still water is 12 km/hr.
Explanation:
To solve this problem, we need to use the concept of the speed of the boat relative to the water and the speed of the boat relative to the ground.
When the boat is moving downstream (i.e., in the direction of the current), the speed of the boat relative to the water is added to the speed of the current. Thus, the speed downstream is given by:
Speed downstream = Speed of the boat in still water + Speed of the current
Similarly, when the boat is moving upstream (i.e., in the opposite direction of the current), the speed of the boat relative to the water is subtracted from the speed of the current. Thus, the speed upstream is given by:
Speed upstream = Speed of the boat in still water - Speed of the current
We are given the values of the speed downstream and speed upstream, and we need to find the speed of the boat in still water. To do so, we can use the fact that the speed of the current is half the difference between the speed downstream and speed upstream:
Speed of the current = (Speed downstream - Speed upstream)/2
Once we have found the speed of the current, we can use the equation for speed downstream to find the speed of the boat in still water.
Solving the equations, we get the speed of the boat in still water as 12 km/hr.
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A man can row 15 km per hour downstream and 9 km per hour upstream. The speed (in km/hour) of the boat in still water is:a)8b)10c)12d)15Correct answer is option 'C'. Can you explain this answer?
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A man can row 15 km per hour downstream and 9 km per hour upstream. The speed (in km/hour) of the boat in still water is:a)8b)10c)12d)15Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man can row 15 km per hour downstream and 9 km per hour upstream. The speed (in km/hour) of the boat in still water is:a)8b)10c)12d)15Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man can row 15 km per hour downstream and 9 km per hour upstream. The speed (in km/hour) of the boat in still water is:a)8b)10c)12d)15Correct answer is option 'C'. Can you explain this answer?.
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