A boat covers a certain distance downstream in 1 hour, while it comes back in $$1\frac{1}{2}$$ hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?
A. 12 kmph
B. 13 kmph
C. 14 kmph
D. 15 kmph
E. None of these
Answer: Option D
Solution(By Examveda Team)
Let the speed of the boat in still water be x kmphThen
Speed downstream = (x + 3) kmph
Speed upstream = (x - 3) kmph
$$\eqalign{ & \therefore \left( {x + 3} \right) \times 1 = \left( {x - 3} \right) \times \frac{3}{2} \cr & \Rightarrow 2x + 6 = 3x - 9 \cr & \Rightarrow x = 15\,\text{kmph} \cr} $$
Related Questions on Boats and Streams
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B. 3 hours
C. 4 hours
D. 5 hours
E. None of these
A. 8.5 km/hr
B. 9 km/hr
C. 10 km/hr
D. 12.5 km/hr
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A. 2 : 1
B. 3 : 2
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D. Cannot be determined
E. None of these
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