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?
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:
111 comments Page 10 of 12.
Manikandan said:
8 years ago
For required ratio:
The speed of boat:speed of current.
(u+v)/2 : (u-v)/2.
Here:y=11x/5 =u,
(11x/5+x)/2:(11x/5-x) //take LCM,
16x/5:6x/5,
16x:6x,
8:3.
The speed of boat:speed of current.
(u+v)/2 : (u-v)/2.
Here:y=11x/5 =u,
(11x/5+x)/2:(11x/5-x) //take LCM,
16x/5:6x/5,
16x:6x,
8:3.
Sriteja said:
8 years ago
@Sujishnu Adhya & @Binza.
Your explanation made me easy to understand. Thanks.
Your explanation made me easy to understand. Thanks.
Deena.r said:
8 years ago
How ll can the 48/60 =4/5? Please explain why?
Dhiraj Take said:
8 years ago
@Deena R:.
Divide numerator and denominatr by 12.
Divide numerator and denominatr by 12.
Pratiksha said:
8 years ago
How that 8:3 ratio comes? Please anyone help me.
Hari said:
8 years ago
Anyone explain me to get the answer.
Ronie said:
8 years ago
First convert Hours to Mins.
8hrs 48mins= 528mins & 4hrs= 240mins.
Speed Down =x/528,
Speed Up=x/240,
Speed of stream =(x/240-x/528)÷2=x/880,
Speed of boat= x/240-x/880 =x/330,
Ratio=(x/330)/(x/880)= 8:3.
8hrs 48mins= 528mins & 4hrs= 240mins.
Speed Down =x/528,
Speed Up=x/240,
Speed of stream =(x/240-x/528)÷2=x/880,
Speed of boat= x/240-x/880 =x/330,
Ratio=(x/330)/(x/880)= 8:3.
RAMJAN said:
8 years ago
I got the value of x+y/2 =13x4 instead of 16x/10.
Am I correct?
Am I correct?
Pavan chennur said:
7 years ago
Distance is constant. So that we have a relationship between speed and time.
Swapna said:
7 years ago
Thank you @Bindu.
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