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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.
$$\eqalign{ & \Rightarrow {x \times 8\frac{4}{5}} = {y \times 4} \cr & \Rightarrow \frac{{44}}{5}x = 4y \cr & \Rightarrow y = \frac{{11}}{5}x \cr & \therefore {\text{Required}}\,{\text{ratio}} \cr & = {\frac{{y + x}}{2}} : {\frac{{y - x}}{2}} \cr & = \left( {\frac{{16x}}{5} \times \frac{1}{2}} \right):\left( {\frac{{6x}}{5} \times \frac{1}{2}} \right) \cr & = \frac{8}{5}:\frac{3}{5} \cr & = 8:3 \cr} $$

This Question Belongs to Arithmetic Ability >> Boats And Streams

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Comments ( 3 )

  1. Ronil RK
    Ronil RK :
    1 year ago

    Thank you

  2. Mr White
    Mr White :
    3 years ago

    Thanks for the solution.

  3. Atikur Rahman
    Atikur Rahman :
    4 years ago

    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

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