Question

The distance between two stations is $425km$. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by $5km/hr$. If the distance between the two trains after 2 hours of their start is $30km$, find the speed of each train.

• A. $57km/hr$, $62km/hr$
• B. $65km/hr$, $70km/hr$
• C. $75km/hr$, $80km/hr$
• D. $85km/hr$, $90km/hr$

Answer 1

Answer: (C)

$75km/hr$, $80km/hr$

time $t=2hr$ ; total distance =340 distance travel by both train $=340-30=310km$

let speed of train $x$ and $x+5$respectively.

we know, speed $=\frac{\text{Distance}}{\text{Time}}$

distance travel by train 1 in 2hr is $S=2x$

distance travel by train 2 in 2hr is $S_2=2(x+5)=2x+10$

distance travel by both the train in 2hr is $S=2x+2x+10=4x+10=310$

$x=75km/hr$

$x+5=75+5=$80 km/hr

hence,the speed of each train is 75 km/hr and 80 km/hr.