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Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place is
- a)180 km
- b)160 m
- c)164 km
- d)220 km
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Speed of a boat is 25 km per hour in still water and the speed of the ...
Let the required distance be x km, then As per the question, Timedownstream + Timeupstream = Total time
⇒ 5x = 60 x 15 ⇒ x = 180 km
Hence, option A is correct.
⇒ 5x = 60 x 15 ⇒ x = 180 km
Hence, option A is correct.
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Community Answer
Speed of a boat is 25 km per hour in still water and the speed of the ...
Given:
Speed of the boat in still water = 25 km/hr
Speed of the stream = 5 km/hr
Time taken to go to a place and come back = 15 hours
To find:
The distance of the place.
Formula:
Speed = Distance / Time
Approach:
Let's assume the distance of the place as 'd' km.
When the boat is moving upstream (against the stream), the effective speed is reduced by the speed of the stream.
So, the speed of the boat while moving upstream = (Speed of the boat in still water) - (Speed of the stream) = 25 - 5 = 20 km/hr.
When the boat is moving downstream (with the stream), the effective speed is increased by the speed of the stream.
So, the speed of the boat while moving downstream = (Speed of the boat in still water) + (Speed of the stream) = 25 + 5 = 30 km/hr.
Let's consider the time taken to go from the starting point to the place as 't1' hours.
Then, the time taken to return from the place to the starting point will be (15 - t1) hours.
Using the formula Speed = Distance / Time, we can write the following equations:
For the upstream journey:
20 = d / t1
For the downstream journey:
30 = d / (15 - t1)
Solving the above two equations will give us the value of 'd', which represents the distance of the place.
Calculation:
From the first equation, we can write:
d = 20 * t1
Substituting this value in the second equation, we get:
30 = (20 * t1) / (15 - t1)
Cross-multiplying and simplifying the equation, we get:
600 - 30t1 = 20t1
600 = 50t1
t1 = 12
Substituting the value of t1 in the equation d = 20 * t1, we get:
d = 20 * 12
d = 240 km
Therefore, the distance of the place is 240 km.
Hence, the correct answer is option A) 180 km.
Speed of the boat in still water = 25 km/hr
Speed of the stream = 5 km/hr
Time taken to go to a place and come back = 15 hours
To find:
The distance of the place.
Formula:
Speed = Distance / Time
Approach:
Let's assume the distance of the place as 'd' km.
When the boat is moving upstream (against the stream), the effective speed is reduced by the speed of the stream.
So, the speed of the boat while moving upstream = (Speed of the boat in still water) - (Speed of the stream) = 25 - 5 = 20 km/hr.
When the boat is moving downstream (with the stream), the effective speed is increased by the speed of the stream.
So, the speed of the boat while moving downstream = (Speed of the boat in still water) + (Speed of the stream) = 25 + 5 = 30 km/hr.
Let's consider the time taken to go from the starting point to the place as 't1' hours.
Then, the time taken to return from the place to the starting point will be (15 - t1) hours.
Using the formula Speed = Distance / Time, we can write the following equations:
For the upstream journey:
20 = d / t1
For the downstream journey:
30 = d / (15 - t1)
Solving the above two equations will give us the value of 'd', which represents the distance of the place.
Calculation:
From the first equation, we can write:
d = 20 * t1
Substituting this value in the second equation, we get:
30 = (20 * t1) / (15 - t1)
Cross-multiplying and simplifying the equation, we get:
600 - 30t1 = 20t1
600 = 50t1
t1 = 12
Substituting the value of t1 in the equation d = 20 * t1, we get:
d = 20 * 12
d = 240 km
Therefore, the distance of the place is 240 km.
Hence, the correct answer is option A) 180 km.
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Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place isa)180 kmb)160 mc)164 kmd)220 kme)None of theseCorrect answer is option 'A'. 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 Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place isa)180 kmb)160 mc)164 kmd)220 kme)None of theseCorrect answer is option 'A'. 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 Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place isa)180 kmb)160 mc)164 kmd)220 kme)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place isa)180 kmb)160 mc)164 kmd)220 kme)None of theseCorrect answer is option 'A'. 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 Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place isa)180 kmb)160 mc)164 kmd)220 kme)None of theseCorrect answer is option 'A'. 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 Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place isa)180 kmb)160 mc)164 kmd)220 kme)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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