Question : A passenger train running at the speed of 80 km/h leaves the railway station six hours after a goods train leaves and overtakes it in four hours. What is the speed of the goods train?
Option 1: 32 km/h
Option 2: 50 km/h
Option 3: 45 km/h
Option 4: 64 km/h
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Correct Answer: 32 km/h
Solution :
The passenger train covers the distance in 4 hours = 80 × 4 = 320 km
The goods train travels this distance in = (6 + 4) = 10 hours
We know that, $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$
So, the speed of the goods train = $\frac{320}{10}=32$ km/h
Hence, the correct answer is 32 km/h.
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