In covering a certain distance,the speeds of | vedclass

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

Question

(C) Let the time taken by $A$ be $x$ hours.Since $A$ takes $30 	ext{ minutes}$ $(0.5 	ext{ hours})$ more than $B$,the time taken by $B$ is $(x - 0.5

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) Let the time taken by $A$ be $x$ hours.Since $A$ takes $30 	ext{ minutes}$ $(0.5 	ext{ hours})$ more than $B$,the time taken by $B$ is $(x - 0.5)$ hours.The ratio of speeds of $A$ and $B$ is $3:4$. Let the speeds be $3k$ and $4k$ respectively.Since the distance is the same for both,we have:$	ext{Distance} = 	ext{Speed} 	imes 	ext{Time}$$3k 	imes x = 4k 	imes (x - 0.5)$Dividing both sides by $k$ $(k 
eq 0)$:$3x = 4(x - 0.5)$$3x = 4x - 2$$4x - 3x = 2$$x = 2 	ext{ hours}$.Thus,the time taken by $A$ is $2 	ext{ hours}$.

In covering a certain distance,the speeds of $A$ and $B$ are in the ratio of $3:4$. $A$ takes $30 \text{ minutes}$ more than $B$ to reach the destination. What is the time taken by $A$ to reach the destination (in hours)?

Similar Questions

$A$ man walking at $3 \, km/h$ crosses a square field diagonally in $2 \, minutes$. The area of the field (in $m^2$) is:

How many $km/h$ does a man walk who passes through a street $600 \, m$ long in $5 \, minutes$?

$A$ train takes $18 \, s$ to pass completely through a station $162 \, m$ long and $15 \, s$ through another station $120 \, m$ long. The length of the train (in $m$) is:

$A$ man goes from a place $A$ to $B$ at a speed of $12 \, km/hr$ and returns from $B$ to $A$ at a speed of $18 \, km/hr$. The average speed for the whole journey is (in $km/hr$):

$A$ man travelled a certain distance by train at the rate of $25 \text{ km/h}$ and walked back at the rate of $4 \text{ km/h}$. If the whole journey took $5 \text{ h } 48 \text{ min}$,what is the distance? (in $\text{km}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module