• # question_answer A train running between two stations A and B arrives at its destination 10 minutes late when its speed is 50 km/h and 50 minutes late when its speed is 30 km/h. What is the distance between the stations A and B? A)  40 km B)         50 km C)  60 km  D)  70 km

[b] Let the distance between the two stations be x km. Then, $\frac{x}{50}-\frac{10}{6}=\frac{x}{30}-\frac{50}{6}$ $\Rightarrow$ $\frac{x}{50}-\frac{1}{6}=\frac{x}{30}-\frac{5}{6}$ or $\frac{x}{30}-\frac{x}{50}=\frac{2}{3}$       or x = 50 km Thus distance between the station A and B = 50 km