An express train left Delhi for Howrah at 3 pm at an average speed of

1.	An express train left Delhi for Howrah at 3 pm at an average speed of 60 km/hr. At 1 pm, a goods train also had left Delhi for Howrah on a parallel track at an average speed of 40 km/hr. How far from Delhi is the express train expected to overtake the goods train? (a) 200 km (b) 220 km (c) 240 km (d) 280 km
Answer» (c) 240 km Distance covered by goods train before express train leaves = 40 × 2 = 80 km Relative speed = (60 – 40) km/hr = 20 km/hr ∴ Time taken to cross each other = \(\frac{80}{20}\) hrs = 4 hrs ∴ Distance from Delhi where the express train is expected to overtake the goods train = (4 × 60) km = 240 km.

An express train left Delhi for Howrah at 3 pm at an average speed of 60 km/hr. At 1 pm, a goods train also had left Delhi for Howrah on a parallel track at an average speed of 40 km/hr. How far from Delhi is the express train expected to overtake the goods train? (a) 200 km (b) 220 km (c) 240 km (d) 280 km

Answer»

(c) 240 km

Distance covered by goods train before express train leaves = 40 × 2 = 80 km

Relative speed = (60 – 40) km/hr = 20 km/hr

∴ Time taken to cross each other = \(\frac{80}{20}\) hrs = 4 hrs

∴ Distance from Delhi where the express train is expected to overtake the goods train = (4 × 60) km = 240 km.

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