Aptitude - Boats and Streams - Discussion

Discussion Forum : Boats and Streams - General Questions (Q.No. 5)
5.
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
3 km/hr
5 km/hr
8 km/hr
9 km/hr
Answer: Option
Explanation:

Speed in still water = 1 (11 + 5) kmph = 8 kmph.
2

Video Explanation: https://youtu.be/KQX_mA3tcVA

Discussion:
39 comments Page 2 of 4.

Yamini said:   8 years ago
If the speed downstream is a km/hr and speed upstream is b km/hr then,
Speed in still water=1/2(a+b)km/hr.
(1)

Kamala kant said:   8 years ago
Do you have the concept of eqillibrium? then say
if , (11/x +y) + (5/x-y) =3,
x=?

Bhavesh said:   8 years ago
What is this same Q is like in 3 hours a boat goes 11 km along the stream and 5 km against the stream the speed of the boat in still water is?
(1)

Satish said:   8 years ago
D=11 U=5.
(D+U)/2=x.
11+5/2=X.
16/2=X.
8=X (stream speed).

Audry said:   8 years ago
Let U= speed of boat in still water and v=speed of stream then;

Upstream speed, U - V = 5km/hr,
Downstream speed, U + V = 11km/hr,

Eqt,
U + V + U - V = 11 + 5
2U = 16
U = 16/2 = 8km/hr.

Suresh said:   8 years ago
A boats cover 1 km in 10 minute with stream and 1 km in 20 minute against stream now speed of boat in still water will be?

Please solve it.

Aman kumar said:   9 years ago
B = Speed of boat.
w = Speed of water.

NOW
B + W=11 (with the stream)
B - W=5 (opp to stream)
----------------
2B =16,
B =16/2,
= 8 KMPH.

Sara said:   9 years ago
x = speed of stream still in water.
y = speed of stream.

downstream = Distance/ X+Y = Time,
= 11/ X+Y = 1hour.

Upstream= Distance/ X-Y = Time.
= 5/X-Y = 1hour.

Cross multiply

11 = X + Y -----(1)eq
5 = X - Y ------(2)eq

We need x, so cancel y.
2X = 16,
X = 8kmph.

Shudhu said:   9 years ago
Downstream so, x + y = 11.
Upstream so, x - y = 5.

Solve equation 1 and 2.

You get x =7.5.

So, nearest answer is 8.

Shruti said:   9 years ago
How come the speed becomes 11 kmph and 5 kmph when only distance is given, and boat travels both the distances in total 1 hour?

I think either the question is wrong or 8 is not the answer.


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