A person can row a certain distance downstrea | vedclass

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

Question

(B) Let the speed of the person in still water be $x 	ext{ km/h}$ and the speed of the stream be $y = 2 \frac{1}{4} = 2.25 	ext{ km/h}.$Downstream s

Vedclass · Accepted Answer

$11 \frac{1}{4}$

Vedclass · Answer

(B) Let the speed of the person in still water be $x 	ext{ km/h}$ and the speed of the stream be $y = 2 \frac{1}{4} = 2.25 	ext{ km/h}.$Downstream speed $= (x + y) 	ext{ km/h}.$Upstream speed $= (x - y) 	ext{ km/h}.$Let the distance be $d 	ext{ km}.$According to the problem,$d = (x + y) 	imes 6$ and $d = (x - y) 	imes 9.$Equating the distances: $6(x + y) = 9(x - y).$$6x + 6y = 9x - 9y \implies 3x = 15y \implies x = 5y.$Substituting $y = 2.25 	ext{ km/h}:$$x = 5 	imes 2.25 = 11.25 = 11 \frac{1}{4} 	ext{ km/h}.$

$A$ person can row a certain distance downstream in $6$ $hours$ and return the same distance in $9$ $hours.$ If the stream flows at the rate of $2 \frac{1}{4} \text{ km/h},$ find how far he can row in an hour in still water (in $\text{km/h}$).

Similar Questions

The speed of a boat in still water is $6\, km/hr$ and the speed of the stream is $1.5\, km/hr$. $A$ man rows to a place at a distance of $22.5\, km$ and comes back to the starting point. The total time taken by him is

$A$ boatman goes $2\, km$ against the stream in $1\, hour$ and goes $1\, km$ along the current in $10\, minutes.$ How long will he take to go $5\, km$ in stationary water?

$A$ man can row $6\, km/h$ in still water. If the river is running at $2\, km/h$,it takes $3\, hours$ more to row upstream than to row downstream for the same distance. How far is the place? (in $km$)

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 $.......\, km/h$.

The speed of a boat in still water is $10\, km/hr$. If it can travel $26\, km$ downstream and $14\, km$ upstream in the same time,the speed of the stream is.....$km/hr$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module