The average speed of a train is 20% less onthe return journey than on the onwardjourney. The train halts for half an hour atthe destination station before starting onthe return journey. If the total time takenfor the 'to and fro' journey is 23 h, coveringa distance of 1000 km, the speed of the trainon the return journey is

The average speed of a train is 20% less onthe return journey than on

1.	The average speed of a train is 20% less onthe return journey than on the onwardjourney. The train halts for half an hour atthe destination station before starting onthe return journey. If the total time takenfor the 'to and fro' journey is 23 h, coveringa distance of 1000 km, the speed of the trainon the return journey is
Answer» Train was halted for half an hour.So, total time taken in Journey = 23 - (1/2) = 22.5 hours.Average speed in Whole Journey = 1000/22.5 = 44.5 km/hr.The average speed on return journey is 20% less than onward journey.Therefore, ratio of average speed of onward and return journey,= 100/80 = 5/4.Let average speed of onward journey = 5x.Average speed on return journey = 4x.Average speed on whole journey = (5x +4x)/244.5 = (5x + 4x)/289 = 9xx = 9.88.Average speed on return = 9.88 *4 = 39.52 = 40 kmph (Approx.)