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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?

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1. 

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

Explanation:

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.

1-sym-oparen-h1 x x 8 4 1-sym-cparen-h1 = (y x 4)
5
44 x =4y
5
 y = 11 x.
5
 Required ratio = 1-sym-oparen-h1 y + x 1-sym-cparen-h1 : 1-sym-oparen-h1 y - x 1-sym-cparen-h1
2 2
   = 1-sym-oparen-h1 16x x 1 : 1-sym-oparen-h1 6x x 1 1-sym-cparen-h1
5 2 5 2
   = 8 : 3
5 5

   = 8 : 3.

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