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The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream at the same time, the speed of the stream is-
- a)2 km/hr
- b)2.5 km/hr
- c)3 km/hr
- d)4 km/hr
- e)5 km/hr
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The speed of a boat in still water is 10 km/hr. If it can travel 26 km...
Let the speed of the stream be x km/hr
Then speed downstream = (10 + x) km/hr
Speed upstream
= (10 − x) km/hr
⇒ 260 − 26x = 140 + 14x
⇒ 40x = 120
⇒ x = 3 km/hr
Then speed downstream = (10 + x) km/hr
Speed upstream
= (10 − x) km/hr
⇒ 260 − 26x = 140 + 14x
⇒ 40x = 120
⇒ x = 3 km/hr
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Community Answer
The speed of a boat in still water is 10 km/hr. If it can travel 26 km...
Given:
- Speed of the boat in still water = 10 km/hr
- Distance traveled downstream = 26 km
- Distance traveled upstream = 14 km
To find:
- Speed of the stream
Approach:
Let's assume the speed of the stream is 'x' km/hr.
Downstream:
When the boat is traveling downstream, the speed of the stream helps the boat move faster. So, the effective speed of the boat is the sum of the speed of the boat in still water and the speed of the stream.
- Speed of the boat downstream = Speed of the boat in still water + Speed of the stream = 10 + x km/hr
Upstream:
When the boat is traveling upstream, the speed of the stream opposes the motion of the boat. So, the effective speed of the boat is the difference between the speed of the boat in still water and the speed of the stream.
- Speed of the boat upstream = Speed of the boat in still water - Speed of the stream = 10 - x km/hr
Time taken:
- Time taken downstream = Distance/Speed = 26/(10 + x) hours
- Time taken upstream = Distance/Speed = 14/(10 - x) hours
Since the boat travels the same distance downstream and upstream at the same time, the time taken will be equal:
26/(10 + x) = 14/(10 - x)
Solving the equation:
Cross-multiplying the equation:
26(10 - x) = 14(10 + x)
260 - 26x = 140 + 14x
40x = 120
x = 3
Conclusion:
The speed of the stream is 3 km/hr. Therefore, the correct answer is option 'C'.
- Speed of the boat in still water = 10 km/hr
- Distance traveled downstream = 26 km
- Distance traveled upstream = 14 km
To find:
- Speed of the stream
Approach:
Let's assume the speed of the stream is 'x' km/hr.
Downstream:
When the boat is traveling downstream, the speed of the stream helps the boat move faster. So, the effective speed of the boat is the sum of the speed of the boat in still water and the speed of the stream.
- Speed of the boat downstream = Speed of the boat in still water + Speed of the stream = 10 + x km/hr
Upstream:
When the boat is traveling upstream, the speed of the stream opposes the motion of the boat. So, the effective speed of the boat is the difference between the speed of the boat in still water and the speed of the stream.
- Speed of the boat upstream = Speed of the boat in still water - Speed of the stream = 10 - x km/hr
Time taken:
- Time taken downstream = Distance/Speed = 26/(10 + x) hours
- Time taken upstream = Distance/Speed = 14/(10 - x) hours
Since the boat travels the same distance downstream and upstream at the same time, the time taken will be equal:
26/(10 + x) = 14/(10 - x)
Solving the equation:
Cross-multiplying the equation:
26(10 - x) = 14(10 + x)
260 - 26x = 140 + 14x
40x = 120
x = 3
Conclusion:
The speed of the stream is 3 km/hr. Therefore, the correct answer is option 'C'.
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The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream at the same time, the speed of the stream is-a)2 km/hrb)2.5 km/hrc)3 km/hrd)4 km/hre)5 km/hrCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2026 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream at the same time, the speed of the stream is-a)2 km/hrb)2.5 km/hrc)3 km/hrd)4 km/hre)5 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream at the same time, the speed of the stream is-a)2 km/hrb)2.5 km/hrc)3 km/hrd)4 km/hre)5 km/hrCorrect answer is option 'C'. Can you explain this answer?.
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