A train covers a distance between two station | vedclass

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

Question

(C) Let the distance between two stations $A$ and $B$ be $x \; km$ and the speed of the train be $y \; km/h$.Since $	ext{Time} = \frac{	ext{Distance

Vedclass · Accepted Answer

$60 \; km, 80 \; km/h$

Vedclass · Answer

(C) Let the distance between two stations $A$ and $B$ be $x \; km$ and the speed of the train be $y \; km/h$.Since $	ext{Time} = \frac{	ext{Distance}}{	ext{Speed}}$,we have:$\frac{x}{y} = \frac{45}{60} = \frac{3}{4} \implies x = \frac{3}{4}y \quad (1)$When the speed is reduced by $5 \; km/h$,the new speed is $(y - 5) \; km/h$ and the time taken is $48$ minutes:$\frac{x}{y - 5} = \frac{48}{60} = \frac{4}{5} \implies x = \frac{4}{5}(y - 5) \quad (2)$Equating $(1)$ and $(2)$:$\frac{3}{4}y = \frac{4}{5}(y - 5)$$15y = 16(y - 5)$$15y = 16y - 80$$y = 80 \; km/h$Substituting $y = 80$ in $(1)$:$x = \frac{3}{4} 	imes 80 = 60 \; km$Thus,the distance is $60 \; km$ and the speed is $80 \; km/h$.

$A$ train covers a distance between two stations $A$ and $B$ in $45$ minutes. If the speed is reduced by $5 \; km/h$,it will cover the same distance in $48$ minutes. What is the distance between the two stations $A$ and $B$ (in $km$)? Also,find the speed of the train.

Similar Questions

$A$ train $280 \; m$ long, running with a speed of $63 \; km/hr$, will pass a tree in (in $sec$):

$A$ train $100 \; m$ long is running at the speed of $30 \; km/hr$. Find the time (in $sec$) taken by it to pass a man standing near the railway line.

Two trains are moving in opposite directions at $60 \; km/hr$ and $90 \; km/hr$ respectively. Their lengths are $1.1 \; km$ and $0.9 \; km$ respectively. The time taken by the slower train to cross the faster train in seconds is

$A$ train $240 \; m$ long passed a pole in $24 \; s$. How long (in $s$) will it take to pass a platform $650 \; m$ long?

Two trains,each $100 \; m$ long,moving in opposite directions,cross each other in $8 \; s$. If one is moving twice as fast as the other,then the speed (in $km/h$) of the faster train is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module