1.

A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train? (a) 480 km (b) 260 km (c) 240 km (d) 120 km

Answer»

Correct option (c) 240 km

Explanation:

Speed of freight train = 40 km/hr and Speed of express train = 60 km/hr 

Hence, relative velocity = 60 – 40 = 20 km/hr 

Distance travelled by freight train in 2 hours = Speed of freight train × 2 = 40 × 2 = 80 km 

So, time taken by express train to catch freight train = Distance/Relative speed = 80/20 = 4 hr 

Distance from Delhi at this moment = Speed of express train × 4 = 60 × 4 = 240 km



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