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1. 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 traveled 60 km more than the other . The distance between two stations is?

A. 440 km

B. 444 km

C. 445 km

D. 450 km

Solution:

\begin{aligned} At the time of meeting , \\ let the distance travelled by the \\ first train be x km . \\ Then distance travelled by the \\ second train is (x + 60) km \\ ∴ \frac{x}{16} = \frac{x + 60}{21} \\ \Rightarrow 21 x = 16 x + 960 \\ \Rightarrow 5 x = 960 \Rightarrow x = 192 \\ Hence, \\ distance between two stations \\ =  (192 + 192 + 60) km \\ =  444 km . \end{aligned}

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