A man rows at 9 frac{1}{3} text{ km/h} in sti | vedclass

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

Question

(C) Let the speed of the man in still water be $x = 9 \frac{1}{3} = \frac{28}{3} 	ext{ km/h}$ and the speed of the current be $y 	ext{ km/h}$.The sp

Vedclass · Accepted Answer

$4 \frac{2}{3}$

Vedclass · Answer

(C) Let the speed of the man in still water be $x = 9 \frac{1}{3} = \frac{28}{3} 	ext{ km/h}$ and the speed of the current be $y 	ext{ km/h}$.The speed upstream is $(x - y) 	ext{ km/h}$ and the speed downstream is $(x + y) 	ext{ km/h}$.Let the distance be $d$. According to the problem,the time taken to row upstream is thrice the time taken to row downstream:$\frac{d}{x - y} = 3 	imes \frac{d}{x + y}$Canceling $d$ from both sides:$\frac{1}{x - y} = \frac{3}{x + y}$$x + y = 3(x - y)$$x + y = 3x - 3y$$4y = 2x$$y = \frac{x}{2}$Substituting $x = \frac{28}{3}$:$y = \frac{28/3}{2} = \frac{14}{3} = 4 \frac{2}{3} 	ext{ km/h}$.

$A$ man rows at $9 \frac{1}{3} \text{ km/h}$ in still water and finds that it takes him thrice as much time to row up than to row down the same distance in the river. The speed of the current is.......$\text{km/h}$

Similar Questions

From the given statements,decide which of the statement$(s)$ is/are necessary to answer the question.
What is the speed of a train?
$I.$ The length of the train is $240 \ m$.
$II.$ The train crosses a pole in $24 \ s$.
$III.$ The train crosses a platform in $48 \ s$.

The speed of a boat along the stream is $12 \, km/h$ and against the stream is $8 \, km/h$. The time taken by the boat to sail $24 \, km$ in still water is:

$A$ motor boat,whose speed is $15 \text{ km/hr}$ in still water,goes $30 \text{ km}$ downstream and comes back in a total of $4 \text{ hours } 30 \text{ minutes}$. The speed of the stream (in $\text{km/hr}$) is:

$A$ boat travels upstream from $B$ to $A$ and downstream from $A$ to $B$ in $3$ $hours$. If the speed of the boat in still water is $9\, km/h$ and the speed of the current is $3\, km/h$, find the distance between $A$ and $B$ in kilometres.

$A$ man can row $7 \frac{1}{2} \, km/hr$ in still water. If in a river running at $1.5 \, km/hr$,it takes him $50 \, minutes$ to row to a place and back,how far off is the place? (in $km$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module