Subject: General Aptitude · Chapter: Problems on Trains · Exam: 2007 · Marks: · Difficulty:
The Ghaziabad-Hapur-Meerut EMU and the Meerut-Hapur-Ghaziabad EMU start at the same time from Ghaziabad and Meerut and proceed towards each other at 16 km/hr and 21 km/hr respectively. When they meet, it is found that one train has travelled 60 km more than the other. The distance between two stations is
(a)440 km
(b)444 km
(c)445 km
(d)450 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 travelled by the second train is $(x+60)$ km . $$\begin{aligned} & \therefore \frac{x}{16}=\frac{x+60}{21} \Rightarrow 21 x=16 x+960 \\ & \Rightarrow 5 x=960 \Rightarrow x=192 . \end{aligned}$$ Hence, distance between two stations $=(192+192+60)$ $\mathrm{km}=444 \mathrm{km}$.