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A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?
- a)17.20 km/hr
- b)10 km/hr
- c)9.79 km/hr
- d)4.88 km/hr
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A boat sails across a river with a velocity of 10 km/hr. If resultant ...
We can use the Pythagorean theorem to solve this problem since the boat's velocity, river's velocity, and resultant velocity form a right triangle.
Let the boat's velocity be represented by A (10 km/hr), the river's velocity be represented by B, and the resultant velocity be represented by C (14 km/hr).
According to the Pythagorean theorem, A^2 + B^2 = C^2.
Now, we can plug in the given values and solve for B:
(10)^2 + B^2 = (14)^2
100 + B^2 = 196
Subtract 100 from both sides:
B^2 = 96
Now, take the square root of both sides:
B = sqrt(96) ≈ 9.79 km/hr
Let the boat's velocity be represented by A (10 km/hr), the river's velocity be represented by B, and the resultant velocity be represented by C (14 km/hr).
According to the Pythagorean theorem, A^2 + B^2 = C^2.
Now, we can plug in the given values and solve for B:
(10)^2 + B^2 = (14)^2
100 + B^2 = 196
Subtract 100 from both sides:
B^2 = 96
Now, take the square root of both sides:
B = sqrt(96) ≈ 9.79 km/hr
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A boat sails across a river with a velocity of 10 km/hr. If resultant ...
Given, velocity of boat across the river (Vb) = 10 km/hr and resultant boat velocity (Vr) = 14 km/hr.
Let the velocity of river water be Vw.
We can use the concept of vector addition to solve this problem.
Resultant velocity of boat (Vr) = Velocity of boat across the river (Vb) + Velocity of river water (Vw)
Mathematically, Vr = Vb + Vw
Substituting the given values, we get:
14 km/hr = 10 km/hr + Vw
Simplifying this equation, we get:
Vw = 14 km/hr - 10 km/hr
Vw = 4 km/hr
Therefore, the velocity of river water is 4 km/hr.
Hence, the correct option is (d) 4.88 km/hr.
Let the velocity of river water be Vw.
We can use the concept of vector addition to solve this problem.
Resultant velocity of boat (Vr) = Velocity of boat across the river (Vb) + Velocity of river water (Vw)
Mathematically, Vr = Vb + Vw
Substituting the given values, we get:
14 km/hr = 10 km/hr + Vw
Simplifying this equation, we get:
Vw = 14 km/hr - 10 km/hr
Vw = 4 km/hr
Therefore, the velocity of river water is 4 km/hr.
Hence, the correct option is (d) 4.88 km/hr.
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A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer?.
A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer?.
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A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?a)17.20 km/hrb)10 km/hrc)9.79 km/hrd)4.88 km/hrCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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