A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
A. 2 : 1
B. 3 : 2
C. 8 : 3
D. Cannot be determined
E. None of these
Answer: Option C
Solution(By Examveda Team)
Let the man's rate upstream be x kmph and that downstream be y kmph.Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
$$\eqalign{ & \Rightarrow {x \times 8\frac{4}{5}} = {y \times 4} \cr & \Rightarrow \frac{{44}}{5}x = 4y \cr & \Rightarrow y = \frac{{11}}{5}x \cr & \therefore {\text{Required}}\,{\text{ratio}} \cr & = {\frac{{y + x}}{2}} : {\frac{{y - x}}{2}} \cr & = \left( {\frac{{16x}}{5} \times \frac{1}{2}} \right):\left( {\frac{{6x}}{5} \times \frac{1}{2}} \right) \cr & = \frac{8}{5}:\frac{3}{5} \cr & = 8:3 \cr} $$
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Comments ( 3 )
Related Questions on Boats and Streams
A. 2 hours
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
E. None of these
A. 2 : 1
B. 3 : 2
C. 8 : 3
D. Cannot be determined
E. None of these
A. 4 km/hr
B. 5 km/hr
C. 6 km/hr
D. 10 km/hr
Thank you
Thanks for the solution.
Let, boat speed x kmph
Current speed y kmph
So, upstream distance= downstream distance
Or, (x-y)*8.8= (x+y)*4
Or,1.2x=3.2y
Or, x/y=8/3
Or,x:y= 8:3