Question

Between two stations, a train starts and accelerates uniformly at first, then moves with constant speed and finally retards uniformly, to reach and stop, at the other station. If the ratio of the time taken for these three parts of the motion is 1 : 8 : 1, and the greatest speed is 60 kmh^-1, the average speed of the train is

(1) 30 kmh^-1

(2) 48 kmh^-1

(3) 54 kmh^-1

(4) 60 kmh^-1

Answer 1

(3) 54 kmh^-1

The speed-time graph for the motion of the train is shown in the figure. The total distance covered is