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Aptitude - Boats and Streams - Discussion

@ : Home > Aptitude > Boats and Streams > General Questions - Discussion

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"Hold a true friend with both hands."
- (Proverb)
15. 

A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

[A]. 1 km/hr[B]. 1.5 km/hr
[C]. 2 km/hr[D]. 2.5 km/hr

Answer: Option B

Explanation:

Suppose he move 4 km downstream in x hours. Then,

Speed downstream = 4 km/hr.
x

Speed upstream = 3 km/hr.
x

48 + 48 = 14 or x = 1 .
(4/x) (3/x) 2

So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

Rate of the stream = 1 (8 - 6) km/hr = 1 km/hr.
2


Rajesh said: (Thu, Jan 13, 2011 02:21:55 AM)    
 
So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

How we know these values 8 km/hr, 6 km/hr..

Pls tell me.

Ram said: (Mon, Jan 31, 2011 10:29:45 AM)    
 
I'm also having this doubt. Anybody help me.

Manish said: (Sun, Feb 6, 2011 02:04:19 AM)    
 
Speed of down stream is always greater than upstream because in down stream the gravitational force enhence some speed of the stream.

Manish said: (Sun, Feb 6, 2011 02:11:36 AM)    
 
We know that x=1/2, put this value in speed downstream= (4/x) then we get speed down stream=8km/h similarly we get speed upstream.

Rohit said: (Sat, Jul 30, 2011 11:20:58 PM)    
 
Is there any other solotion without assuming the x ?

Anik said: (Mon, Aug 15, 2011 08:50:07 PM)    
 
@Rohit

It is impossible without assuming x i.e algebraic method, learn more on this.

Faiz said: (Sun, Jun 17, 2012 08:54:32 PM)    
 
Let speed in still water be s.

Let speed of stream be x.

So, 48/ (s+x) +48/ (s-x) =14 - First equation.

and

4/ (s+x) =3/ (s-x) - Second equation.

Solving the above two equations,

We get,

X=1, Which is the answer.

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