Two trains, 130 and 110 metres long, are going in the same direction. The faster train takes one minute to… · ABC26GN3912
Subject: General Aptitude · Chapter: Problems on Trains
Two trains, 130 and 110 metres long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 seconds. Find the speed of the faster train.
(a)38 m/sec
(b)42 m/sec
(c)46 m/sec
(d)50 m/sec
Answer
Answer (as printed): B
Explanation
Let the speeds of the faster and slower trains be $x$ m/sec and $y$ m/sec respectively. Then, $\frac{240}{x-y}=60 \Leftrightarrow x-y=4$ ...(i) And, $\frac{240}{x+y}=3 \Leftrightarrow x+y=80$ ...(ii) Adding (i) and (ii), we get: $2x=84$ or $x=42$. Putting $x=42$ in (i), we get: $y=38$. Hence, speed of faster train $=42$ m/sec.
Explanation as extracted from the printed page; notation may be imperfect.