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### Discussion :: Boats and Streams

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?

2.  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 hr

[XX8$$\frac { 4 } { 5 }$$]=(y x 4)

y=$$\frac { 44} {5 } X=4Y$$

z=$$[\frac { 16X } { 5 } *$$$$\frac { 1 } { 2 }$$]:[$$[\frac { 6X } { 5 } *$$$$\frac { 1 } { 2 }$$]

Required ratio =[$$[ \frac { Y+X } { 2 } ]$$:$$[ \frac { Y-X} { 2 } ]$$

=$$\frac { 8} { 5}$$:$$\frac { 3} { 5}$$

= 8 : 3

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