Question
A goods train leaves a station at a certain time and at
a fixed speed. After 8 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 135 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 15 hrs = s x 15 km Distance covered by express train in 7 hrs = 7 x 135 km Distance covered by goods train in 15 hrs = Distance covered by express train in 7 hrs So, 15s = 7 × 135 ⇒ 15s = 945 ⇒ s = 945/15 = 63 So, Speed of goods train = 63 km/hr
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