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Question :

What is the minimum number of trains that are required to provide the service on the AB line (considering both north and south directions)? 

Started 3 months ago by Shashank in

Answer : The answer is '8'

Explanatory Answer

Travel time between A and B = ( 10 × 3 ) + ( 7 × 1 ) + ( 2 × 2 ) = 41 (10×3)+(7×1)+(2×2)=41minutes 

After completing a journey, a train must rest for 15 minutes at least before starting again. 

So if a train starts from 6 am from A to B, then the latest by which that train will start from B to A will be at 7 am, as in the north-south direction, a train starts from A and B every 15 minutes. 

So the total no. of trains required = ( 60 15 ) × 2 = 8 ( 15 60)×2=8 

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