The speeds of three cars are in the ratio of | vedclass

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

Question

(C) Speed and time are inversely proportional to each other when the distance is constant.Given the ratio of speeds $v_1 : v_2 : v_3 = 1 : 3 : 5$.The

Vedclass · Accepted Answer

$15: 5: 3$

Vedclass · Answer

(C) Speed and time are inversely proportional to each other when the distance is constant.Given the ratio of speeds $v_1 : v_2 : v_3 = 1 : 3 : 5$.The time taken $t$ is given by $t = \frac{d}{v}$.Since the distance $d$ is the same for all three cars,the ratio of time taken is $t_1 : t_2 : t_3 = \frac{1}{v_1} : \frac{1}{v_2} : \frac{1}{v_3}$.Substituting the values,we get $t_1 : t_2 : t_3 = \frac{1}{1} : \frac{1}{3} : \frac{1}{5}$.To simplify this ratio,multiply each term by the least common multiple $(LCM)$ of $1, 3,$ and $5$,which is $15$.Ratio $= (1 	imes 15) : (\frac{1}{3} 	imes 15) : (\frac{1}{5} 	imes 15) = 15 : 5 : 3$.

The speeds of three cars are in the ratio of $1: 3: 5$. The ratio among the time taken by these cars to travel the same distance is

Similar Questions

The ratio between the present ages of $A$ and $B$ is $5:3$ respectively. The ratio between $A$'s age $4$ years ago and $B$'s age $4$ years hence is $1:1$. What is the ratio between $A$'s age $4$ years hence and $B$'s age $4$ years ago?

$A$ and $B$ together have ₹ $1210$. If $\frac{4}{15}$ of $A$'s amount is equal to $\frac{2}{5}$ of $B$'s amount,how much amount (in ₹) does $B$ have?

₹ $11,550$ has to be divided between $X$,$Y$,and $Z$ such that $X$ gets $\frac{4}{5}$ of what $Y$ gets and $Y$ gets $\frac{2}{3}$ of what $Z$ gets. How much more does $Z$ get over $X$ (in ₹)?

The monthly salaries of $A, B$ and $C$ are in the ratio $2: 3: 5$. If $C$'s monthly salary is $Rs. 12000$ more than that of $A$,then $B$'s annual salary is (in $Rs.$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module