A passenger train runs at the rate of 80 kmph. It starts from the station, 6 hours after a goods train leaves… · ABC26GN3723
Subject: General Aptitude · Chapter: Time and Distance · Exam: R.R.B. 2008
A passenger train runs at the rate of 80 kmph. It starts from the station, 6 hours after a goods train leaves the station. The passenger train overtakes the goods train after 4 hours. The speed of goods train is
(a)32 km/hr
(b)45 km/hr
(c)50 km/hr
(d)64 km/hr
Answer
Answer (as printed): A
Explanation
Let the speed of the goods train be $x \mathrm{km} / \mathrm{hr}$. Then, relative speed $=(80-x) \mathrm{km} / \mathrm{hr}$. Distance covered by goods train in 6 hrs at $x$ km/hr = Distance covered by passenger train in 4 hrs at $(80-x)$ km/hr $$\Rightarrow 6 x=4(80-x) \Rightarrow 10 x=320 \Rightarrow x=32 \mathrm{km} / \mathrm{hr} .$$