Question
A goods train leaves a station at a certain time and at
a fixed speed. After 12 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 114 km/hr, this train catches up the goods train in 7 hours. Find the speed of the goods train.Solution
Let the speed of the goods train be ‘s’ km/hr Distance covered by goods train in 19 hrs = s x 19 km Distance covered by express train in 7 hrs = 7 x 114 km Distance covered by goods train in 19 hrs = Distance covered by express train in 7 hrs So, 19s = 7 × 114 ⇒ 19s = 798 ⇒ s = 798/19 = 42 So, Speed of goods train = 42 km/hr
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