Problem Solving

A passenger train leaves a station at a certain time at a fixed speed. After \(6\) hours, an express train leaves the same station and moves in the same direction at a uniform speed of \(80 \,\text{kmph}.\) This train catches the passenger train in \(6\) hours. Find the speed of the passenger train.

A. \(30 \,\text{kmph}\)
B. \(32 \,\text{kmph}\)
C. \(36 \,\text{kmph}\)
D. \(40 \,\text{kmph}\)
E. \(46 \,\text{kmph}\)

OA D