Question
A goods train departs from Jaipur towards Udaipur at
6:00 PM, while a passenger train leaves Udaipur for Jaipur at 9:00 PM. The two trains meet at Jaisalmer station at 11:00 PM. The speed of the passenger train is 35% less than that of the goods train. If the distance between Jaipur and Udaipur is 1890 km, what is the speed of the passenger train?Solution
Let the speed of goods train be X km/h
Speed of passenger train = 0.65X km/h
Distance travelled by goods train in 3 hours = 3X
Relative Speed = X + 0.65X = 1.65X km/h
According to question,
(1890 – 3X)/1.65X = 2
1890 – 3X = 3.3X
6.3X = 1890
X = 300 km/h
Speed of passenger train = 300 × 0.65 = 195 km/h
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