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The distance between Delhi and Pune is 1000 km. Rajdhani express started at 6 am from Delhi to Pune and Shatabdi express started at 8 am from Pune to Delhi. Speed of Rajdhani express is half of that speed of Shatabdi express and Shatabdi express reached at 4 am on next day of its journey. When will the trains meet for the first time?

The distance between Delhi and Pune is 1000 km. Rajdhani express started at 6 am from Delhi to Pune and Shatabdi express started at 8 am from Pune to Delhi. Speed of Rajdhani express is half of that speed of Shatabdi express and Shatabdi express reached at 4 am on next day of its journey. When will the trains meet for the first time? Correct Answer 8:40 PM

Time taken by Shatabdi express is 20 hours

∴ The speed of Shatabdi express is 1000/20 which will be 50 km/hr

Speed of Rajdhani express is 25 km/hr

∵ Rajdhani express starts 2 hours early than Shatabdi express.

∴ The distance travelled by it in 2 hours will be 50km hours and it needs to cover 950km.

Time at which they will meet can be find from relative speed which is

⇒ T = 950/(50 + 25)

= 950/75 = 12 hours 40 min

∴ Time of meet = 8 AM + 12 hour 40 min = 8:40 PM

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