Aptitude - Boats and Streams - Discussion

Discussion Forum : Boats and Streams - General Questions (Q.No. 3)
3.
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 : 1
3 : 2
8 : 3
Cannot be determined
None of these
Answer: Option
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.

x x 8 4 = (y x 4)
5

44 x =4y
5

y = 11 x.
5

Required ratio = y + x : y - x
2 2

   = 16x x 1 : 6x x 1
5 2 5 2

   = 8 : 3
5 5

   = 8 : 3.

Discussion:
109 comments Page 3 of 11.

Nitin Gusain said:   1 decade ago
Take it as in easy way
x= upstream speed
y= downstream speed
now we know that
upstream speed(x) = boat speed - stream speed
downstream speed(y) = boat speed + stream speed
so, x+y = 2*boat speed
x-y = 2*stream speed
so ratio of boat speed to stream speed is = (x+y)/(x-y)

Aag said:   1 decade ago
I got 13:3 please help I'm not getting 8:3.

Srinu said:   1 decade ago
I didn't understand how 8*4/5 will get.

Anbu said:   1 decade ago
Bindu your answer is suitable for all this type of problems?

Anbu said:   1 decade ago
@Bindu.

Your answer is suitable for all this type of problems?

Hema said:   1 decade ago
I'm not understand this step 16/5*1/2 please help me.

Ashwini said:   1 decade ago
@Nitin Gusain.

Thanks yaar. It's so simple calculation.

But X-Y = -2 (Stream speed) So instead of that,

Y-X = +2 (Stream speed).

Maneesh said:   1 decade ago
Simply equal the speeds in downstream and upstream we get the ratio,

upstream:downstream.

(x+y)/2 = (x-y)/2

(x+y) = (x-y)

Given upstream and downstream speeds,
Means x(44/5)=y(4).

y = x(11/5)

(x+Y) = (x-Y)

16x/5 = 6x/5

8:3 answer

Sandeep said:   1 decade ago
x/y = 5/11.

So, x=5 , y=11.

(x+y)/2 : (x-y)/2.

(11+5)/2 : (11-5)/2.

16/2 : 6/2.

8:3 answer.

Raju said:   1 decade ago
I want to know how these equation is done?

16x/5 and 6x/5.


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