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If the speed of a boat in still water is 60 km/h. If the boat travels 180 km along the stream in 2 hours 30 minutes, then the time taken by it to cover the same distance against the stream will be?
  • a)
    3 hour 30 minutes
  • b)
    2 hour 45 minutes
  • c)
    2 hour 30 minutes
  • d)
    3 hours 45 minutes
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the speed of a boat in still water is 60 km/h. If the boat travels ...
Let the speed of the current be ‘x’ km/h
Rate Downstream = (x + 60) km/h
According to the question,
180/(x + 60) = 2 hours 30 minutes 180/(x + 60) = 5/2 hours
(x + 60) = 72
Therefore, x = 12 km/hr Rate
Upstream = 60 – 12 = 48 km/hr
Required time = 180/48 = 3 hours 45 minutes
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Most Upvoted Answer
If the speed of a boat in still water is 60 km/h. If the boat travels ...
Given information:
- Speed of the boat in still water = 60 km/h
- Distance traveled along the stream = 180 km
- Time taken along the stream = 2 hours 30 minutes

Let's assume the speed of the stream is 'x' km/h.

Boat Speed along the Stream:
The boat is traveling along the stream, which means it is moving in the same direction as the stream. In this case, the effective speed of the boat will be the sum of its speed in still water and the speed of the stream.

- Boat speed along the stream = Speed in still water + Speed of the stream
- Boat speed along the stream = 60 + x km/h

Time taken along the Stream:
We are given that the boat traveled 180 km along the stream in 2 hours 30 minutes.

- Time = Distance / Speed
- 2 hours 30 minutes = 2.5 hours
- Time taken along the stream = Distance / Boat speed along the stream
- 2.5 = 180 / (60 + x)
- 2.5(60 + x) = 180
- 150 + 2.5x = 180
- 2.5x = 180 - 150
- 2.5x = 30
- x = 30 / 2.5
- x = 12 km/h

Boat Speed against the Stream:
The boat is now traveling against the stream, which means it is moving in the opposite direction as the stream. In this case, the effective speed of the boat will be the difference between its speed in still water and the speed of the stream.

- Boat speed against the stream = Speed in still water - Speed of the stream
- Boat speed against the stream = 60 - 12 km/h
- Boat speed against the stream = 48 km/h

Time taken against the Stream:
We need to find the time taken by the boat to cover the same distance against the stream.

- Time taken = Distance / Boat speed against the stream
- Time taken = 180 / 48
- Time taken = 3.75 hours

Converting 0.75 hours to minutes:
- 0.75 hours = 0.75 * 60 = 45 minutes

Therefore, the time taken by the boat to cover the same distance against the stream is 3 hours 45 minutes, which is option D.
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If the speed of a boat in still water is 60 km/h. If the boat travels 180 km along the stream in 2 hours 30 minutes, then the time taken by it to cover the same distance against the stream will be?a)3 hour 30 minutesb)2 hour 45 minutesc)2 hour 30 minutesd)3 hours 45 minutesCorrect answer is option 'D'. Can you explain this answer?
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If the speed of a boat in still water is 60 km/h. If the boat travels 180 km along the stream in 2 hours 30 minutes, then the time taken by it to cover the same distance against the stream will be?a)3 hour 30 minutesb)2 hour 45 minutesc)2 hour 30 minutesd)3 hours 45 minutesCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If the speed of a boat in still water is 60 km/h. If the boat travels 180 km along the stream in 2 hours 30 minutes, then the time taken by it to cover the same distance against the stream will be?a)3 hour 30 minutesb)2 hour 45 minutesc)2 hour 30 minutesd)3 hours 45 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the speed of a boat in still water is 60 km/h. If the boat travels 180 km along the stream in 2 hours 30 minutes, then the time taken by it to cover the same distance against the stream will be?a)3 hour 30 minutesb)2 hour 45 minutesc)2 hour 30 minutesd)3 hours 45 minutesCorrect answer is option 'D'. Can you explain this answer?.
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