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A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?
- a)4 km/hr
- b)2 km/hr
- c)3 km/hr
- d)1.5 km/hr
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A motorboat can travel at 10 km/hr in still water. It travelled 91 km ...
Let the speed of flow of water in the river be x km/hr.
910 + 91x + 910 - 91x = 20(102 - x2)
⇒ 100 - x2 = 91
⇒ x2 = 9
⇒ x = 3
Thus, speed of flow of water in the river = 3 km/hr
910 + 91x + 910 - 91x = 20(102 - x2)
⇒ 100 - x2 = 91
⇒ x2 = 9
⇒ x = 3
Thus, speed of flow of water in the river = 3 km/hr
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A motorboat can travel at 10 km/hr in still water. It travelled 91 km ...
Given information:
- Speed of the motorboat in still water = 10 km/hr
- Total time taken for the round trip = 20 hours
- Distance traveled downstream = 91 km
Let's calculate the speed of the flow of water in the river:
1. Speed downstream:
- Let the speed of the flow of water be x km/hr
- Speed downstream = (Speed of motorboat + Speed of flow of water)
- Speed downstream = (10 + x) km/hr
2. Time taken to travel downstream:
- Time = Distance / Speed
- Time downstream = 91 / (10 + x)
3. Speed upstream:
- Speed upstream = (Speed of motorboat - Speed of flow of water)
- Speed upstream = (10 - x) km/hr
4. Time taken to travel upstream:
- Time upstream = 91 / (10 - x)
5. Total time taken for the round trip:
- Total time = Time downstream + Time upstream
- 20 = 91 / (10 + x) + 91 / (10 - x)
6. Solve for x:
- 20 = 91 / (10 + x) + 91 / (10 - x)
- Simplifying the equation, we get x = 3 km/hr
Therefore, the speed of the flow of water in the river is 3 km/hr. Hence, option C is the correct answer.
- Speed of the motorboat in still water = 10 km/hr
- Total time taken for the round trip = 20 hours
- Distance traveled downstream = 91 km
Let's calculate the speed of the flow of water in the river:
1. Speed downstream:
- Let the speed of the flow of water be x km/hr
- Speed downstream = (Speed of motorboat + Speed of flow of water)
- Speed downstream = (10 + x) km/hr
2. Time taken to travel downstream:
- Time = Distance / Speed
- Time downstream = 91 / (10 + x)
3. Speed upstream:
- Speed upstream = (Speed of motorboat - Speed of flow of water)
- Speed upstream = (10 - x) km/hr
4. Time taken to travel upstream:
- Time upstream = 91 / (10 - x)
5. Total time taken for the round trip:
- Total time = Time downstream + Time upstream
- 20 = 91 / (10 + x) + 91 / (10 - x)
6. Solve for x:
- 20 = 91 / (10 + x) + 91 / (10 - x)
- Simplifying the equation, we get x = 3 km/hr
Therefore, the speed of the flow of water in the river is 3 km/hr. Hence, option C is the correct answer.
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A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer?
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A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer? for UGC NET 2025 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer?.
A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer? for UGC NET 2025 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer?.
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A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A motorboat can travel at 10 km/hr in still water. It travelled 91 km downstream and then returned, taking 20 hours altogether. What is the speed of flow of water in the river?a)4 km/hrb)2 km/hrc)3 km/hrd)1.5 km/hrCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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