A boatman takes twice as long to row a distan | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the speed of the boat in still water be $x$ and the speed of the stream be $y$.Let the distance be $d$.The speed of the boat with the stream (

Vedclass · Accepted Answer

$3:1$

Vedclass · Answer

(B) Let the speed of the boat in still water be $x$ and the speed of the stream be $y$.Let the distance be $d$.The speed of the boat with the stream (downstream) is $(x + y)$ and against the stream (upstream) is $(x - y)$.According to the problem,the time taken to row upstream is twice the time taken to row downstream:$\frac{d}{x - y} = 2 	imes \frac{d}{x + y}$Canceling $d$ from both sides,we get:$\frac{1}{x - y} = \frac{2}{x + y}$$x + y = 2(x - y)$$x + y = 2x - 2y$Rearranging the terms,we get:$x = 3y$Therefore,the ratio of the speed of the boat in still water to the speed of the stream is $\frac{x}{y} = \frac{3}{1}$,which is $3:1$.

$A$ boatman takes twice as long to row a distance against the stream as to row the same distance with the stream. Find the ratio of the speed of the boat in still water to the speed of the stream.

Similar Questions

The speed of a boat in still water is $8\, km/h$. If its speed downstream is $15\, km/h$,then the speed of the stream is $.......\, km/h$.

$A$ man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

In one hour,a boat goes $11 \ km$ along the stream and $5 \ km$ against the stream. The speed of the boat in still water (in $km/hr$) is

$A$ man rows to a place $48 \, km$ away and comes 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:

If a man's rate with the current is $12\, km/h$ and the rate of current is $1.5\, km/h$,then the man's rate against the current in $km/h$ is...........

Vedclass Test Series

Exam Paper Generator

Online Exam Module