A person,rowing at the rate of 5 , km/h in st | vedclass

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

Question

(C) Let the speed of the stream be $v \, km/h$.Given that,the speed of the person in still water is $5 \, km/h$.The speed of the person downstream is

Vedclass · Accepted Answer

$2.5$

Vedclass · Answer

(C) Let the speed of the stream be $v \, km/h$.Given that,the speed of the person in still water is $5 \, km/h$.The speed of the person downstream is $(5 + v) \, km/h$.The speed of the person upstream is $(5 - v) \, km/h$.Time taken to cover $40 \, km$ downstream is $t_1 = \frac{40}{5 + v} \, h$.Time taken to cover $40 \, km$ upstream is $t_2 = \frac{40}{5 - v} \, h$.According to the problem,the time taken upstream is thrice the time taken downstream,so $t_2 = 3 	imes t_1$.Substituting the values: $\frac{40}{5 - v} = 3 	imes \frac{40}{5 + v}$.Dividing both sides by $40$: $\frac{1}{5 - v} = \frac{3}{5 + v}$.Cross-multiplying: $5 + v = 3(5 - v)$.$5 + v = 15 - 3v$.$4v = 10$.$v = 2.5 \, km/h$.Thus,the speed of the stream is $2.5 \, km/h$.

$A$ person,rowing at the rate of $5 \, km/h$ in still water,takes thrice as much time in going $40 \, km$ upstream as in going $40 \, km$ downstream. Find the speed of the stream in $km/h$.

Similar Questions

$A$ motor boat whose speed is $18\, km/h$ in still water takes $1\, hour$ more to go $24\, km$ upstream than to return downstream to the same spot. Find the speed of the stream. (in $ km/h$)

The product of the digits of a two-digit number is $15$. If the digits of this number are interchanged,the new number so obtained is $18$ more than the original number. Find the original number.

In $\Delta ABC$,$m \angle A = 90^{\circ}$. If $AB = 3x - 2$,$AC = 5x + 4$,and $BC = 6x + 2$,find the value of $x$.

In rectangle $HIJK$,$HJ = 13$ and $HI = 5$. Then,the perimeter of rectangle $HIJK$ is.......

While selling a calculator for Rs. $56$,the profit percentage is equal to its cost price in rupees. Find the cost price of the calculator.

Vedclass Test Series

Exam Paper Generator

Online Exam Module