A man can row 44 text{ km} downstream in 4 te | vedclass

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

Question

(A) Let the speed of the current be $y 	ext{ km/hr}$.The speed downstream is given by the sum of the speed in still water and the speed of the curren

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) Let the speed of the current be $y 	ext{ km/hr}$.The speed downstream is given by the sum of the speed in still water and the speed of the current,which is $(8 + y) 	ext{ km/hr}$.Given that the man rows $44 	ext{ km}$ downstream in $4 	ext{ hours}$,we have:$	ext{Speed downstream} = \frac{	ext{Distance}}{	ext{Time}} = \frac{44 	ext{ km}}{4 	ext{ hr}} = 11 	ext{ km/hr}$.Equating the two expressions for downstream speed:$8 + y = 11 \Rightarrow y = 3 	ext{ km/hr}$.The speed upstream is given by the difference between the speed in still water and the speed of the current,which is $(8 - y) 	ext{ km/hr}$.Substituting $y = 3 	ext{ km/hr}$:$	ext{Speed upstream} = 8 - 3 = 5 	ext{ km/hr}$.Time taken to cover $25 	ext{ km}$ upstream is:$	ext{Time} = \frac{	ext{Distance}}{	ext{Speed upstream}} = \frac{25 	ext{ km}}{5 	ext{ km/hr}} = 5 	ext{ hours}$.

$A$ man can row $44 \text{ km}$ downstream in $4 \text{ hours}$. If the man's rowing rate in still water is $8 \text{ km/hr}$,then find in what time will he cover $25 \text{ km}$ upstream? (in $\text{hours}$)

Similar Questions

$A$ 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.....$km$.

If a man's rate with the current is $12 \text{ km/h}$ and the rate of the current is $1 \frac{1}{2} \text{ km/h}$,then his rate against the current is ...... $\text{km/h}$.

$A$ man can row against the current $\frac{3}{4}$ of a kilometre in $15$ minutes and returns the same distance in $10$ minutes. The ratio of his speed to that of the current is

$A$ boat goes $20 \text{ km}$ downstream in $1 \text{ h}$ and the same distance upstream in $2 \text{ h}$. The speed of the boat in still water is ......... $\text{km/h}$.

$A$ boat running downstream covers a distance of $16\, km$ in $2\, hours,$ while for covering the same distance upstream,it takes $4\, hours.$ What is the speed of the boat in still water? (in $km/hr$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module