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The speed of a Boat in standing water is 10km/hr. It traveled Down Stream from point A to B in certain time. After reaching B the Boat is powered by Engine then Boat started to return from Point B to A. The time taken for Forward journey and Backward journey are same. Then what is the speed of the stream?
- a)2 Km/hr
- b)3 Km/hr
- c)4 Km/hr
- d)5 Km/hr
- e)Cannot be determined
Correct answer is option 'E'. Can you explain this answer?
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The speed of a Boat in standing water is 10km/hr. It traveled Down Str...
Answer – 5. Cannot be determined Explanation : S+R = D/t ; S-R+x = D/t S+R = S-R+x R =x/2
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The speed of a Boat in standing water is 10km/hr. It traveled Down Str...
Analysis:
To solve the problem, we can use the formula:
Speed of boat in still water (B) = 1/2 (Speed downstream + Speed upstream)
Let the speed of the stream be 'S' km/hr.
Given,
Speed of boat in still water (B) = 10 km/hr
Time taken for forward journey (A to B) = Time taken for backward journey (B to A)
Let the distance between A and B be 'D' km.
Let the speed downstream be 'B + S' km/hr and speed upstream be 'B - S' km/hr.
Let the time taken for the forward journey be 't' hrs.
Then,
Time taken for backward journey = t hrs
Distance covered in the forward journey = Distance covered in backward journey = D km
Speed downstream = Distance/Time = D/t km/hr
Speed upstream = Distance/Time = D/t km/hr
Speed downstream = B + S km/hr
Speed upstream = B - S km/hr
Calculation:
Using the formula,
B = 1/2 (B + S + B - S)
10 = 1/2 (2B)
B = 5 km/hr
Substituting B = 5 km/hr in the equations,
D/t = (10 + S) km/hr
D/t = (10 - S) km/hr
Dividing both the equations,
(10 + S)/(10 - S) = 1
10 + S = 10 - S
2S = 0
S = 0
Conclusion:
The speed of the stream cannot be determined as the solution leads to 'S = 0'. This implies that the boat travels in still water and there is no current or stream. Therefore, the answer is option 'E'.
To solve the problem, we can use the formula:
Speed of boat in still water (B) = 1/2 (Speed downstream + Speed upstream)
Let the speed of the stream be 'S' km/hr.
Given,
Speed of boat in still water (B) = 10 km/hr
Time taken for forward journey (A to B) = Time taken for backward journey (B to A)
Let the distance between A and B be 'D' km.
Let the speed downstream be 'B + S' km/hr and speed upstream be 'B - S' km/hr.
Let the time taken for the forward journey be 't' hrs.
Then,
Time taken for backward journey = t hrs
Distance covered in the forward journey = Distance covered in backward journey = D km
Speed downstream = Distance/Time = D/t km/hr
Speed upstream = Distance/Time = D/t km/hr
Speed downstream = B + S km/hr
Speed upstream = B - S km/hr
Calculation:
Using the formula,
B = 1/2 (B + S + B - S)
10 = 1/2 (2B)
B = 5 km/hr
Substituting B = 5 km/hr in the equations,
D/t = (10 + S) km/hr
D/t = (10 - S) km/hr
Dividing both the equations,
(10 + S)/(10 - S) = 1
10 + S = 10 - S
2S = 0
S = 0
Conclusion:
The speed of the stream cannot be determined as the solution leads to 'S = 0'. This implies that the boat travels in still water and there is no current or stream. Therefore, the answer is option 'E'.
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The speed of a Boat in standing water is 10km/hr. It traveled Down Stream from point A to B in certain time. After reaching B the Boat is powered by Engine then Boat started to return from Point B to A. The time taken for Forward journey and Backward journey are same. Then what is the speed of the stream?a)2 Km/hrb)3 Km/hrc)4 Km/hrd)5 Km/hre)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer?
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The speed of a Boat in standing water is 10km/hr. It traveled Down Stream from point A to B in certain time. After reaching B the Boat is powered by Engine then Boat started to return from Point B to A. The time taken for Forward journey and Backward journey are same. Then what is the speed of the stream?a)2 Km/hrb)3 Km/hrc)4 Km/hrd)5 Km/hre)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The speed of a Boat in standing water is 10km/hr. It traveled Down Stream from point A to B in certain time. After reaching B the Boat is powered by Engine then Boat started to return from Point B to A. The time taken for Forward journey and Backward journey are same. Then what is the speed of the stream?a)2 Km/hrb)3 Km/hrc)4 Km/hrd)5 Km/hre)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a Boat in standing water is 10km/hr. It traveled Down Stream from point A to B in certain time. After reaching B the Boat is powered by Engine then Boat started to return from Point B to A. The time taken for Forward journey and Backward journey are same. Then what is the speed of the stream?a)2 Km/hrb)3 Km/hrc)4 Km/hrd)5 Km/hre)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer?.
The speed of a Boat in standing water is 10km/hr. It traveled Down Stream from point A to B in certain time. After reaching B the Boat is powered by Engine then Boat started to return from Point B to A. The time taken for Forward journey and Backward journey are same. Then what is the speed of the stream?a)2 Km/hrb)3 Km/hrc)4 Km/hrd)5 Km/hre)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The speed of a Boat in standing water is 10km/hr. It traveled Down Stream from point A to B in certain time. After reaching B the Boat is powered by Engine then Boat started to return from Point B to A. The time taken for Forward journey and Backward journey are same. Then what is the speed of the stream?a)2 Km/hrb)3 Km/hrc)4 Km/hrd)5 Km/hre)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a Boat in standing water is 10km/hr. It traveled Down Stream from point A to B in certain time. After reaching B the Boat is powered by Engine then Boat started to return from Point B to A. The time taken for Forward journey and Backward journey are same. Then what is the speed of the stream?a)2 Km/hrb)3 Km/hrc)4 Km/hrd)5 Km/hre)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer?.
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