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A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?
- a)210km
- b)185km
- c)140 km
- d)168km
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A boat takes 26 hours for travelling downstream from point A to point...
- As per the given information, the velocity of the stream is 4 km/hr.
- The speed of the boat in still water is 10 km/hr.
- Therefore, speed of boat in downstream = (10+4)= 14km/hr
- The speed of boat in upstream = (10-4) = 6 km/hr.
- Let the distance between A and B be 'x'. As C is the distance between B and C is x/2.
- Total time taken to reach is 26 hours.
Therefore,
x/14 + (x/2)/6 = 26
⇒ x/14 + x/12 = 26
⇒ (7x+6x)/84 = 26
⇒ 13 x /84 = 26
⇒ x/84 = 2
⇒ x = 168.
The distance between A and B is 168 km.
Most Upvoted Answer
A boat takes 26 hours for travelling downstream from point A to point...
Given data:
Velocity of stream = 4 km/hr
Speed of boat in still water = 10 km/hr
Time taken to travel downstream from A to B and back to C = 26 hours
Let the distance between A and B be 'x' km.
Then, distance between A and C = distance between B and C = x/2 km.
Let us consider the downstream journey first:
Speed of boat downstream = Speed of boat in still water + Velocity of stream
= 10 + 4
= 14 km/hr
Time taken to travel downstream from A to B = Distance/Speed
= x/14 hours
Now, let us consider the upstream journey:
Speed of boat upstream = Speed of boat in still water - Velocity of stream
= 10 - 4
= 6 km/hr
Time taken to travel upstream from B to C = Distance/Speed
= (x/2)/6 = x/12 hours
Total time taken for the entire journey = Time taken downstream + Time taken upstream
= x/14 + x/12
= (6x + 7x)/84
= 13x/84 hours
Given that the total time taken for the journey = 26 hours
Therefore, 13x/84 = 26
13x = 2184
x = 168 km
Hence, the distance between A and B is 168 km. Therefore, option D is the correct answer.
Velocity of stream = 4 km/hr
Speed of boat in still water = 10 km/hr
Time taken to travel downstream from A to B and back to C = 26 hours
Let the distance between A and B be 'x' km.
Then, distance between A and C = distance between B and C = x/2 km.
Let us consider the downstream journey first:
Speed of boat downstream = Speed of boat in still water + Velocity of stream
= 10 + 4
= 14 km/hr
Time taken to travel downstream from A to B = Distance/Speed
= x/14 hours
Now, let us consider the upstream journey:
Speed of boat upstream = Speed of boat in still water - Velocity of stream
= 10 - 4
= 6 km/hr
Time taken to travel upstream from B to C = Distance/Speed
= (x/2)/6 = x/12 hours
Total time taken for the entire journey = Time taken downstream + Time taken upstream
= x/14 + x/12
= (6x + 7x)/84
= 13x/84 hours
Given that the total time taken for the journey = 26 hours
Therefore, 13x/84 = 26
13x = 2184
x = 168 km
Hence, the distance between A and B is 168 km. Therefore, option D is the correct answer.
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A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?a) 210kmb) 185kmc) 140 kmd) 168kmCorrect answer is option 'D'. Can you explain this answer?
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A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?a) 210kmb) 185kmc) 140 kmd) 168kmCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?a) 210kmb) 185kmc) 140 kmd) 168kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?a) 210kmb) 185kmc) 140 kmd) 168kmCorrect answer is option 'D'. Can you explain this answer?.
A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?a) 210kmb) 185kmc) 140 kmd) 168kmCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?a) 210kmb) 185kmc) 140 kmd) 168kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat takes 26 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?a) 210kmb) 185kmc) 140 kmd) 168kmCorrect answer is option 'D'. Can you explain this answer?.
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