Question

A train at station P accelerates uniformly from rest until it attains a speed of 100 km/h. It then continues at the speed for some time and decelerates uniformly until it come to a stop at a station Q 60 km from P. The total time taken for the journey is on hour. If the rate of deceleration is twice that of the acceleration. Calculate the:

(i) Time taken during the constant speed is maintained

(ii) Acceleration of the train