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A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?
  • a)
    180 km
  • b)
    240 km
  • c)
    145.5 km
  • d)
    5.5 km
  • e)
    5 km4.266.66 km5.None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A Motorboat takes 24 hours for travelling downstream from a point A to...
Let the total distance AB be D km BC = 1/3rd of D
Time taken to cover AB + Time taken to cover BC = 24 hours D/((30+15)) + D/(3(30-15)) = 24 D/45 + D/45 = 24 D = 540km
∴ Distance between A and B = 540 km
And Distance Between C and B = 540 � 1/3 = 180km.
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Most Upvoted Answer
A Motorboat takes 24 hours for travelling downstream from a point A to...

Given Information:
- Speed of the stream: 15 km/hr
- Speed of the motorboat in still water: 30 km/hr
- Time taken to travel downstream and back: 24 hours
- Distance between A and B: x km

Approach:
- Let the distance between B and C be y km.
- Since the time taken to travel downstream and back is 24 hours, we can set up the equation using the formula: Time = Distance/Speed

Calculations:
- Speed downstream = 30 km/hr + 15 km/hr = 45 km/hr
- Speed upstream = 30 km/hr - 15 km/hr = 15 km/hr

- Time taken to travel downstream = x/(30 + 15) = x/45 hours
- Time taken to travel upstream = y/(30 - 15) = y/15 hours

- Total time taken = x/45 + y/15 = 24 hours
- x/45 + y/15 = 24
- x + 3y = 1080

- Given that the distance between A and B is 3y, we have x = 3y

- Substituting x = 3y in the equation x + 3y = 1080, we get:
3y + 3y = 1080
6y = 1080
y = 180 km

Therefore, the distance between B and C is 180 km. Hence, the correct answer is option A) 180 km.
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A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?a)180 kmb)240 kmc)145.5 kmd)5.5 kme)5 km4.266.66 km5.None of theseCorrect answer is option 'A'. Can you explain this answer? for Government Jobs 2025 is part of Government Jobs preparation. The Question and answers have been prepared according to the Government Jobs exam syllabus. Information about A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?a)180 kmb)240 kmc)145.5 kmd)5.5 kme)5 km4.266.66 km5.None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Government Jobs 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?a)180 kmb)240 kmc)145.5 kmd)5.5 kme)5 km4.266.66 km5.None of theseCorrect answer is option 'A'. Can you explain this answer?.
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Here you can find the meaning of A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?a)180 kmb)240 kmc)145.5 kmd)5.5 kme)5 km4.266.66 km5.None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?a)180 kmb)240 kmc)145.5 kmd)5.5 kme)5 km4.266.66 km5.None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?a)180 kmb)240 kmc)145.5 kmd)5.5 kme)5 km4.266.66 km5.None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?a)180 kmb)240 kmc)145.5 kmd)5.5 kme)5 km4.266.66 km5.None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A Motorboat takes 24 hours for travelling downstream from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?a)180 kmb)240 kmc)145.5 kmd)5.5 kme)5 km4.266.66 km5.None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Government Jobs tests.
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