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A boat running downstream covers a distance of 22 km in 4 hours while for covering the samedistance upstream, it takes 5 hours. What is the speed of the boat in still water?
- a)5 kmph
- b)4.95 kmph
- c)4.75 kmph
- d)4.65
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A boat running downstream covers a distance of 22 km in 4 hours while ...
Option B
Explanation :Speed downstream = 22/4 = 5.5 kmphSpeed upstream = 22/5 = 4.4 kmphSpeed of the boat in still water = (½) x (5.5+4.42) = 4.95 kmph
Most Upvoted Answer
A boat running downstream covers a distance of 22 km in 4 hours while ...
To find the speed of the boat in still water, let's assume the speed of the boat be 'b' km/h and the speed of the stream be 's' km/h.
Given:
- Distance downstream = 22 km
- Time taken downstream = 4 hours
- Distance upstream = 22 km
- Time taken upstream = 5 hours
Speed of the boat downstream:
The speed of the boat downstream is the sum of the speed of the boat in still water and the speed of the stream.
So, the speed of the boat downstream = (b + s) km/h.
Speed of the boat upstream:
The speed of the boat upstream is the difference between the speed of the boat in still water and the speed of the stream.
So, the speed of the boat upstream = (b - s) km/h.
Using the formula: Speed = Distance/Time
Speed downstream = Distance downstream/Time taken downstream
(b + s) = 22/4
(b + s) = 5.5 ---(1)
Speed upstream = Distance upstream/Time taken upstream
(b - s) = 22/5
(b - s) = 4.4 ---(2)
Solving equations (1) and (2) simultaneously to find the values of 'b' and 's'.
Adding equation (1) and equation (2), we get:
2b = 9.9
b = 4.95 km/h
Therefore, the speed of the boat in still water is 4.95 km/h, which is option B.
Given:
- Distance downstream = 22 km
- Time taken downstream = 4 hours
- Distance upstream = 22 km
- Time taken upstream = 5 hours
Speed of the boat downstream:
The speed of the boat downstream is the sum of the speed of the boat in still water and the speed of the stream.
So, the speed of the boat downstream = (b + s) km/h.
Speed of the boat upstream:
The speed of the boat upstream is the difference between the speed of the boat in still water and the speed of the stream.
So, the speed of the boat upstream = (b - s) km/h.
Using the formula: Speed = Distance/Time
Speed downstream = Distance downstream/Time taken downstream
(b + s) = 22/4
(b + s) = 5.5 ---(1)
Speed upstream = Distance upstream/Time taken upstream
(b - s) = 22/5
(b - s) = 4.4 ---(2)
Solving equations (1) and (2) simultaneously to find the values of 'b' and 's'.
Adding equation (1) and equation (2), we get:
2b = 9.9
b = 4.95 km/h
Therefore, the speed of the boat in still water is 4.95 km/h, which is option B.
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A boat running downstream covers a distance of 22 km in 4 hours while for covering the samedistance upstream, it takes 5 hours. What is the speed of the boat in still water?a)5 kmphb)4.95 kmphc)4.75 kmphd)4.65Correct answer is option 'B'. Can you explain this answer?
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A boat running downstream covers a distance of 22 km in 4 hours while for covering the samedistance upstream, it takes 5 hours. What is the speed of the boat in still water?a)5 kmphb)4.95 kmphc)4.75 kmphd)4.65Correct answer is option 'B'. 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 running downstream covers a distance of 22 km in 4 hours while for covering the samedistance upstream, it takes 5 hours. What is the speed of the boat in still water?a)5 kmphb)4.95 kmphc)4.75 kmphd)4.65Correct answer is option 'B'. 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 running downstream covers a distance of 22 km in 4 hours while for covering the samedistance upstream, it takes 5 hours. What is the speed of the boat in still water?a)5 kmphb)4.95 kmphc)4.75 kmphd)4.65Correct answer is option 'B'. Can you explain this answer?.
A boat running downstream covers a distance of 22 km in 4 hours while for covering the samedistance upstream, it takes 5 hours. What is the speed of the boat in still water?a)5 kmphb)4.95 kmphc)4.75 kmphd)4.65Correct answer is option 'B'. 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 running downstream covers a distance of 22 km in 4 hours while for covering the samedistance upstream, it takes 5 hours. What is the speed of the boat in still water?a)5 kmphb)4.95 kmphc)4.75 kmphd)4.65Correct answer is option 'B'. 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 running downstream covers a distance of 22 km in 4 hours while for covering the samedistance upstream, it takes 5 hours. What is the speed of the boat in still water?a)5 kmphb)4.95 kmphc)4.75 kmphd)4.65Correct answer is option 'B'. Can you explain this answer?.
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