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Bombay Express left Delhi for Bombay at 13 : 15 hrs, travelling at a speed of 70 kmph and Rajdhani Express left Delhi for Bombay on the same day at 16 : 15 hrs, travelling at a speed of 90 kmph. How far away from Delhi will the two trains meet? 

Bombay Express left Delhi for Bombay at 13 : 15 hrs, travelling at a speed of 70 kmph and Rajdhani Express left Delhi for Bombay on the same day at 16 : 15 hrs, travelling at a speed of 90 kmph. How far away from Delhi will the two trains meet?  Correct Answer 945 km

At 13 : 15 hr Bombay express left Delhi for Bombay

Speed of Bombay express = 70 km/hr

At 16:15 hrs. I.e. 3 hr later Rajdhani express left for Delhi for Bombay

Speed of Rajdhani express = 90 km/hr

Let both train travelled ‘d’ distance to meet each other

Time = distance/speed

Time taken by Bombay express = d/70

Time taken by Rajdhani express = d/90

Rajdhani express started 3 hrs later

That is time taken by Bombay express = time taken by Rajdhani express + 3

d/70 = (d/90) +3

(d/70) - (d/90) = 3

(90 – 70)d = 6300 × 3

d = (6300 × 3)/20 = 945 km

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