Speed of a boat in standing water is 9 text{ | vedclass

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

Question

(D) Let the speed of the boat in still water be $x = 9 	ext{ km/h}$ and the speed of the stream be $y = 1.5 	ext{ km/h}$.The speed downstream is $(x

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(D) Let the speed of the boat in still water be $x = 9 	ext{ km/h}$ and the speed of the stream be $y = 1.5 	ext{ km/h}$.The speed downstream is $(x + y) = 9 + 1.5 = 10.5 	ext{ km/h}$.The speed upstream is $(x - y) = 9 - 1.5 = 7.5 	ext{ km/h}$.The time taken to travel $105 	ext{ km}$ downstream is $T_1 = \frac{	ext{Distance}}{	ext{Speed downstream}} = \frac{105}{10.5} = 10 	ext{ hours}$.The time taken to travel $105 	ext{ km}$ upstream is $T_2 = \frac{	ext{Distance}}{	ext{Speed upstream}} = \frac{105}{7.5} = 14 	ext{ hours}$.The total time taken is $T = T_1 + T_2 = 10 + 14 = 24 	ext{ hours}$.

Speed of a boat in standing water is $9 \text{ km/h}$ and the speed of the stream is $1.5 \text{ km/h}$. $A$ man rows to a place at a distance of $105 \text{ km}$ and comes back to the starting point. The total time taken by him is (in $\text{ hours}$)

Similar Questions

The ratio of the speed of a motorboat to that of the water current is $36 : 5$. The motorboat travels along with the current in $5 \, h \, 10 \, min$. Find the time taken by the motorboat to return.

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.....$km/hr$.

$A$ boat goes $14 \ km$ upstream in $42 \ minutes$. The speed of the stream is $4 \ km$. The speed of the boat in still water is .......... $km/h$.

$A$ man can row at $5 \, km/h$ in still water. If the velocity of the current is $1 \, km/h$ and it takes him $1 \, h$ to row to a place and come back,how far is the place? (in $km$)

$A$ 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