Two trains start from stations A and B and travel towards each other at a speed of 50 kmph and 60 kmph… · ABC26GN3746
Subject: General Aptitude · Chapter: Time and Distance · Exam: R.R.B. 2006 ; C.P.O. 2005 ; M.A.T. 2009 ; Bank P.O. 2008
Two trains start from stations $A$ and $B$ and travel towards each other at a speed of 50 kmph and 60 kmph respectively. A the time of their meeting, thesecond train had travelled 120 km more than the first. The distance between $A$ and $B$ is
(a)600 km
(b)1320 km
(c)1440 km
(d)1660 km
Answer
Answer (as printed): B
Explanation
At the time of meeting, let the distance travelled by the first train be $x \mathrm{km}$.Then, distance covered by the second train $=(x+120) \mathrm{km}$. $$\begin{aligned} \therefore \quad \frac{x}{50}=\frac{x+120}{60} & \Leftrightarrow 60 x=50 x+6000 \\ & \Leftrightarrow 10 x=6000 \Leftrightarrow x=600 . \end{aligned}$$ So, distance between $A$ and $B=(x+x+120) \mathrm{km}=1320 \mathrm{km}$.