A train covers a distance between station A a | vedclass

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

Question

(A) Let the distance between station $A$ and station $B$ be $x \, km$.Let the initial speed of the train be $v \, km/h$.Time taken in the first case i

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(A) Let the distance between station $A$ and station $B$ be $x \, km$.Let the initial speed of the train be $v \, km/h$.Time taken in the first case is $45 \, min = \frac{45}{60} \, h = \frac{3}{4} \, h$.So,$x = v 	imes \frac{3}{4} \Rightarrow v = \frac{4x}{3}$.Time taken in the second case is $48 \, min = \frac{48}{60} \, h = \frac{4}{5} \, h$.The new speed is $(v - 5) \, km/h$.So,$x = (v - 5) 	imes \frac{4}{5} \Rightarrow v - 5 = \frac{5x}{4} \Rightarrow v = \frac{5x}{4} + 5$.Equating the two expressions for $v$:$\frac{4x}{3} = \frac{5x}{4} + 5$.$\frac{4x}{3} - \frac{5x}{4} = 5$.$\frac{16x - 15x}{12} = 5$.$\frac{x}{12} = 5 \Rightarrow x = 60 \, km$.

$A$ train covers a distance between station $A$ and station $B$ in $45 \, min$. If the speed of the train is reduced by $5 \, km/h$,then the same distance is covered in $48 \, min$. The distance between stations $A$ and $B$ is? (in $km$)

Similar Questions

$A$ person covers a certain distance in $6 \, hours$ if he travels at $40 \, km/h$. If he has to cover the same distance in $4 \, hours$,then his speed must be (in $km/h$):

$A$ $110 \text{ meters}$ long train passes a man walking at the speed of $6 \text{ km/h}$ against it in $6 \text{ seconds}$. The speed of the train in $\text{km/h}$ is:

$A$ $135\, m$ long train is running with a speed of $54\, km/h$. In what time will it pass a telegraph post? (in $seconds$)

$A$ person goes from point $A$ to $B$ with a speed of $55 \text{ km/hr}$ and returns with a speed of $65 \text{ km/hr}$. What is the average speed (in $\text{km/hr}$) of the person while going and coming back from $A$ to $B$?

$A$ 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 $km/hr$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module