A boat running downstream covers a distance o | vedclass

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

Question

(A) Let the speed of the boat in still water be $x\, km/h$ and the speed of the stream be $y\, km/h$.According to the problem,the downstream speed is

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(A) Let the speed of the boat in still water be $x\, km/h$ and the speed of the stream be $y\, km/h$.According to the problem,the downstream speed is $x + y = \frac{	ext{Distance}}{	ext{Time}} = \frac{20}{2} = 10\, km/h$ $....(i)$Similarly,the upstream speed is $x - y = \frac{	ext{Distance}}{	ext{Time}} = \frac{20}{5} = 4\, km/h$ $....(ii)$Adding equation $(i)$ and equation $(ii)$:$(x + y) + (x - y) = 10 + 4$$2x = 14$$x = 7\, km/h$Thus,the speed of the boat in still water is $7\, km/h$.

$A$ boat running downstream covers a distance of $20\, km$ in $2\, h$ while it covers the same distance upstream in $5\, h$. Then,the speed of the boat in still water is ....... $km/h$.

Similar Questions

The current of a stream runs at $1 \, km/h$. $A$ motor boat goes $35 \, km$ upstream and back again to the starting point in $12 \, hours$. The speed of the motor boat in still water in $km/h$ is:

$A$ 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 $km/hr$)

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

If the speed of a swimmer in still water is $9\, km/h$,find the downstream speed of the swimmer when the river is flowing with a speed of $6\, km/h$ (in $km/h$).

$A$ 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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module