Aptitude - Boats and Streams - Discussion
Read more: "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.