In a river,the ratio of the speed of the stre | vedclass

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

Question

(B) Let the speed of the first boat be $5a$ and the speed of the stream be $2a$.In the second case,let the speed of the stream be $3b$ and the speed o

Vedclass · Accepted Answer

$15:8$

Vedclass · Answer

(B) Let the speed of the first boat be $5a$ and the speed of the stream be $2a$.In the second case,let the speed of the stream be $3b$ and the speed of the second boat be $4b$.Since the speed of the stream is the same in both cases,we equate the stream speeds: $2a = 3b$.From this,we get $a = \frac{3}{2}b$.Now,substitute $a$ into the speed of the first boat: $5a = 5 	imes (\frac{3}{2}b) = \frac{15}{2}b$.The ratio of the speed of the first boat to the second boat is $\frac{\frac{15}{2}b}{4b} = \frac{15}{8}$ or $15:8$.

In a river,the ratio of the speed of the stream to the speed of a boat in still water is $2:5$. In another case,the ratio of the speed of the stream to the speed of a boat in still water is $3:4$. What is the ratio of the speeds of the first boat to the second boat in still water?

Similar Questions

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 ...... $\text{km/h}$.

On a river,$Q$ is the midpoint between two points $P$ and $R$ on the same bank. $A$ boat can travel from $P$ to $Q$ and back in $12$ hours,and from $P$ to $R$ in $16$ hours $40$ minutes. How long would it take to travel from $R$ to $P$? (in 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 $\text{hours}$)

Aditya can row with the stream at $10 \text{ km/h}$ and against the stream at $6 \text{ km/h}$. His speed in still water is .......... $\text{km/h}$.

When the speed of a boat in still water is $4\, km/h$ and the rate of stream is $2\, km/h$,find the upstream speed of the boat (in $km/h$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module