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The speed of a boat when travelling downstream is 32 kmph whereas when travelling upstream it is 28 kmph. What is the speed of the boat in still water?
- a)27 kmph
- b)29 kmph
- c)31 kmph
- d)30 kmph
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The speed of a boat when travelling downstream is 32 kmph whereas when...
To solve this question, we can apply a short trick approach
x = 1/2 (boat’s rate with current + his rate against current)
Given,
x is the boat’s rate in still water
By the short trick approach, we get
Hence, option D is correct.
x = 1/2 (boat’s rate with current + his rate against current)
Given,
x is the boat’s rate in still water
By the short trick approach, we get
Hence, option D is correct.
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Community Answer
The speed of a boat when travelling downstream is 32 kmph whereas when...
Given information:
- Speed of the boat downstream = 32 kmph
- Speed of the boat upstream = 28 kmph
To find:
- Speed of the boat in still water
Assumption:
- Let the speed of the boat in still water be x kmph
- Let the speed of the current be y kmph
Explanation:
When the boat is traveling downstream, it gets the additional speed of the current. So, the effective speed is the sum of the speed of the boat in still water and the speed of the current.
- Speed downstream = (Speed of the boat in still water) + (Speed of the current)
- 32 = x + y
When the boat is traveling upstream, it has to overcome the speed of the current, which reduces its effective speed.
- Speed upstream = (Speed of the boat in still water) - (Speed of the current)
- 28 = x - y
Solving the equations:
We have two equations with two variables. By solving these equations simultaneously, we can find the values of x and y.
Adding the two equations:
(32 + 28) = (x + y) + (x - y)
60 = 2x
x = 60/2
x = 30
So, the speed of the boat in still water is 30 kmph. Therefore, the correct answer is option D) 32 kmph.
- Speed of the boat downstream = 32 kmph
- Speed of the boat upstream = 28 kmph
To find:
- Speed of the boat in still water
Assumption:
- Let the speed of the boat in still water be x kmph
- Let the speed of the current be y kmph
Explanation:
When the boat is traveling downstream, it gets the additional speed of the current. So, the effective speed is the sum of the speed of the boat in still water and the speed of the current.
- Speed downstream = (Speed of the boat in still water) + (Speed of the current)
- 32 = x + y
When the boat is traveling upstream, it has to overcome the speed of the current, which reduces its effective speed.
- Speed upstream = (Speed of the boat in still water) - (Speed of the current)
- 28 = x - y
Solving the equations:
We have two equations with two variables. By solving these equations simultaneously, we can find the values of x and y.
Adding the two equations:
(32 + 28) = (x + y) + (x - y)
60 = 2x
x = 60/2
x = 30
So, the speed of the boat in still water is 30 kmph. Therefore, the correct answer is option D) 32 kmph.
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Question Description
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