Two trains leave Agra for Calcutta at 9:00 a.m. and 9:30 a.m., respectively, and travel at 240 km/h and 300 km/h, respectively. How many kilometres from Agra will the two trains meet?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 600 km
Given:
Two trais leave at 9:00 a.m. and 9:30 a.m.
Speeds of both trains are 240 km/h and 300 km/h respectively.
Concept Used:
Distance = Speed × time
Explanation:
Relative speed of both trains = 300 - 240 = 60 km/h.
When the second train leaves the station, the distance covered by first train = 240 × ½ = 120 km.
The time taken to cover 120 Km distance by faster train with respect to the slower train = 120/60 = 2 hours.
Now, the distance covered by second train in 2 hours = 300 × 2 = 600 km.
Hence the two trains meet each other at 600 km distance from Agra.