A man can swim in still water at 9.6 text{ km | vedclass

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

Question

(A) Let the speed of the man in still water be $x = 9.6 	ext{ km/hr}$.Let the speed of the stream be $y 	ext{ km/hr}$.Let the distance to be covered

Vedclass · Accepted Answer

$3.2$

Vedclass · Answer

(A) Let the speed of the man in still water be $x = 9.6 	ext{ km/hr}$.Let the speed of the stream be $y 	ext{ km/hr}$.Let the distance to be covered be $d 	ext{ km}$.The speed downstream is $(9.6 + y) 	ext{ km/hr}$ and the speed upstream is $(9.6 - y) 	ext{ km/hr}$.According to the problem,the time taken to swim upstream is twice the time taken to swim downstream.Time taken upstream = $\frac{d}{9.6 - y}$ and time taken downstream = $\frac{d}{9.6 + y}$.Given: $\frac{d}{9.6 - y} = 2 	imes \frac{d}{9.6 + y}$.Canceling $d$ from both sides: $\frac{1}{9.6 - y} = \frac{2}{9.6 + y}$.Cross-multiplying: $9.6 + y = 2(9.6 - y)$.$9.6 + y = 19.2 - 2y$.$3y = 19.2 - 9.6$.$3y = 9.6$.$y = 3.2 	ext{ km/hr}$.

$A$ man can swim in still water at $9.6 \text{ km/hr}$,but takes twice as long to swim upstream as he does downstream. The speed of the stream is ......... $\text{km/hr}$.

Similar Questions

$A$ boat goes $13\, km$ upstream in $39\, minutes$. The speed of the stream is $3\, km/h$. The speed of the boat in still water is......$km/h$.

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

$A$ motor-boat,travelling at the same speed,can cover $25\, km$ upstream and $39\, km$ downstream in $8\, hours$. At the same speed,it can travel $35\, km$ upstream and $52\, km$ downstream in $11\, hours$. The speed of the stream is $........\, km/h$.

$A$ man can row $6\, km/h$ in still water. If the speed of the current is $2\, km/h$,it takes $3\, hours$ more in upstream than in the downstream for the same distance. The distance is.....$km$.

$A$ boat goes $2\, km$ upstream and $3\, km$ downstream in $20$ minutes. It goes $7\, km$ upstream and $2\, km$ downstream in $53$ minutes. What is the speed (in $km/hr$) of the boat in still water?

Vedclass Test Series

Exam Paper Generator

Online Exam Module