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If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream?
- a)13 km/hr
- b)26 km/hr
- c)34 km/hr
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If a boat is moving in upstream with velocity of 14 km/hr and goes dow...
Let the velocity of the boat be b and that of the current in the stream be s.
Velocity of the boat while going upstream = b − s = 14km/hr ...(1)
Velocity while going downstream = b + s = 40km/hr ...(2)
Subtracting equation (1) from equation (2), we get :-
2s = 26km/hr
=>s = 13km/hr
2s = 26km/hr
=>s = 13km/hr.
Thus, the speed of the current in the stream is 13 km/hr.
Most Upvoted Answer
If a boat is moving in upstream with velocity of 14 km/hr and goes dow...
Speed of the Stream
To find the speed of the stream, we need to understand the concept of relative velocity. The relative velocity is the difference between the velocity of the boat and the velocity of the stream.
Given information:
- Velocity of the boat in upstream = 14 km/hr
- Velocity of the boat in downstream = 40 km/hr
- Upstream velocity: When the boat is moving against the stream, its effective speed decreases. Let's assume the speed of the stream is 'x' km/hr.
- Downstream velocity: When the boat is moving with the stream, its effective speed increases.
Now, let's calculate the speed of the stream using the given information.
Upstream Velocity Formula:
Velocity of the boat in still water - Speed of the stream
14 km/hr = Velocity of the boat in still water - x km/hr
Downstream Velocity Formula:
Velocity of the boat in still water + Speed of the stream
40 km/hr = Velocity of the boat in still water + x km/hr
Solving these two equations will give us the value of x, which represents the speed of the stream.
14 km/hr = Velocity of the boat in still water - x km/hr
40 km/hr = Velocity of the boat in still water + x km/hr
Adding both equations, we get:
54 km/hr = 2 * Velocity of the boat in still water
Dividing by 2 on both sides:
Velocity of the boat in still water = 27 km/hr
Now, substituting this value back into the equations:
14 km/hr = 27 km/hr - x km/hr
40 km/hr = 27 km/hr + x km/hr
Simplifying these equations, we find:
x = 13 km/hr
Hence, the speed of the stream is 13 km/hr. (Option A)
To find the speed of the stream, we need to understand the concept of relative velocity. The relative velocity is the difference between the velocity of the boat and the velocity of the stream.
Given information:
- Velocity of the boat in upstream = 14 km/hr
- Velocity of the boat in downstream = 40 km/hr
- Upstream velocity: When the boat is moving against the stream, its effective speed decreases. Let's assume the speed of the stream is 'x' km/hr.
- Downstream velocity: When the boat is moving with the stream, its effective speed increases.
Now, let's calculate the speed of the stream using the given information.
Upstream Velocity Formula:
Velocity of the boat in still water - Speed of the stream
14 km/hr = Velocity of the boat in still water - x km/hr
Downstream Velocity Formula:
Velocity of the boat in still water + Speed of the stream
40 km/hr = Velocity of the boat in still water + x km/hr
Solving these two equations will give us the value of x, which represents the speed of the stream.
14 km/hr = Velocity of the boat in still water - x km/hr
40 km/hr = Velocity of the boat in still water + x km/hr
Adding both equations, we get:
54 km/hr = 2 * Velocity of the boat in still water
Dividing by 2 on both sides:
Velocity of the boat in still water = 27 km/hr
Now, substituting this value back into the equations:
14 km/hr = 27 km/hr - x km/hr
40 km/hr = 27 km/hr + x km/hr
Simplifying these equations, we find:
x = 13 km/hr
Hence, the speed of the stream is 13 km/hr. (Option A)
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If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40km/hr, then what is the speed of the stream?a)13 km/hrb)26 km/hrc)34 km/hrd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40km/hr, then what is the speed of the stream?a)13 km/hrb)26 km/hrc)34 km/hrd)none of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40km/hr, then what is the speed of the stream?a)13 km/hrb)26 km/hrc)34 km/hrd)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40km/hr, then what is the speed of the stream?a)13 km/hrb)26 km/hrc)34 km/hrd)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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