A train leaves Kazipet at 5 a.m. and reaches Bangalore at 3 p.m. Another B train leaves Bangalore at 7 a.m. and reaches Kazipet at 5 p.m. When do the two trains meet? Assume that the trains travels at equal uniform speeds.

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  1. 1 p.m.
  2. 12 noon
  3. 11 a.m.
  4. 10 a.m.

Answer (Detailed Solution Below)

Option 3 : 11 a.m.
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Let speed be x km/hr

So, distance between stations = 10x km

When trains are travelling in opposite direction, relative speed = 2x km/hr.

Train A leaving at 5 am and train B at 7 am,

⇒ Distance travelled by A in 2 hrs = 2x

⇒ Remaining distance = 10x - 2x = 8x

⇒ Meeting time = 8x/2x = 4 hrs

∴ After 4 hrs, at 11 am train B will meet train A.
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