Speed of a train is 30 percent more than the speed of a car. Both start from point P at the same time and reach point Q at the same time. P and Q are 130 km apart from each other. On the way train stops for 30 minutes at a station. What is the speed of the train?

78 km/hr

Distance = Speed × Time

Let the speed of the car be x km/hr

According to the question, the Speed of a train is 40% more than the speed of a car. Therefore,

Speed of the train = x × $\frac{140}{100}$ = $\frac{7x}{5}$

Time is taken by car to covered  280 km = $\frac{280}{x}$

Since the train stops for 60 minutes, i.e. 1 hr.

Time is taken by Train = $\frac{280 × 5}{7x}$ + 1    

Since, both time are equal, then

$\frac{1400}{7x}$ + 1  = $\frac{280}{x}$

 $\frac{200}{x}$ + 1 = $\frac{280}{x}$

 200 + x = 280

 x = 80 km/hr

Speed of train =  $\frac{7x}{5}$ = \(\frac{7 × 80 }{5}\ = 112 km/hr