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If downstream speed of a boat is 16 kmph and its upstream speed is 11 kmph, what is the speed of stream?
- a)1.5 kmph
- b)2 kmph
- c)3 kmph
- d)2.5 kmph
- e)3.5 kmph
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If downstream speed of a boat is 16 kmph and its upstream speed is 11 ...
To solve this question, we can apply a short trick approach;
Speed of current
= 1/2 (Rate of downstream – Rate of upstream)
By the short trick approach, we get
= 1/2 (16 – 11) = 5/2 = 2.5 kmph.
Hence, option D is correct.
Speed of current
= 1/2 (Rate of downstream – Rate of upstream)
By the short trick approach, we get
= 1/2 (16 – 11) = 5/2 = 2.5 kmph.
Hence, option D is correct.
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Community Answer
If downstream speed of a boat is 16 kmph and its upstream speed is 11 ...
To find the speed of the stream, we need to understand the concept of downstream and upstream speed.
Downstream Speed: It is the speed at which a boat travels along with the current of the river.
Upstream Speed: It is the speed at which a boat travels against the current of the river.
Let's assume the speed of the stream is 'x' kmph.
Downstream speed = Speed of boat + Speed of stream
Upstream speed = Speed of boat - Speed of stream
Given that downstream speed is 16 kmph and upstream speed is 11 kmph, we can write the following equations:
16 = speed of boat + x
11 = speed of boat - x
To solve these equations, we can use the method of elimination.
Adding the two equations, we get:
16 + 11 = (speed of boat + x) + (speed of boat - x)
27 = 2 * speed of boat
speed of boat = 27 / 2 = 13.5 kmph
Substituting the value of speed of boat in any of the equations, we get:
13.5 = 11 + x
x = 13.5 - 11
x = 2.5 kmph
Therefore, the speed of the stream is 2.5 kmph, which corresponds to option 'D'.
Downstream Speed: It is the speed at which a boat travels along with the current of the river.
Upstream Speed: It is the speed at which a boat travels against the current of the river.
Let's assume the speed of the stream is 'x' kmph.
Downstream speed = Speed of boat + Speed of stream
Upstream speed = Speed of boat - Speed of stream
Given that downstream speed is 16 kmph and upstream speed is 11 kmph, we can write the following equations:
16 = speed of boat + x
11 = speed of boat - x
To solve these equations, we can use the method of elimination.
Adding the two equations, we get:
16 + 11 = (speed of boat + x) + (speed of boat - x)
27 = 2 * speed of boat
speed of boat = 27 / 2 = 13.5 kmph
Substituting the value of speed of boat in any of the equations, we get:
13.5 = 11 + x
x = 13.5 - 11
x = 2.5 kmph
Therefore, the speed of the stream is 2.5 kmph, which corresponds to option 'D'.
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Question Description
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