What is the minimum number of trains that are required to provide the service in this city?
Started 1 month ago by Shashank in
Explanatory Answer
Travel time between A and B = ( 10 × 3 ) + ( 7 × 1 ) + ( 2 × 2 ) = 41 (10×3)+(7×1)+(2×2)=41 minutes
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 for the north-south lines = ( 60 15 ) × 2 × 2 = 16 ( 15 60)×2×2=16
Travel time between M and N = ( 20 × 2 ) + ( 17 × 1 ) + ( 2 × 2 ) = 61 (20×2)+(17×1)+(2×2)=61 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 M to N, then the latest by which that train will start from N to M will be at 7:20 am, as in the east-west direction, a train starts from M and N every 15 minutes.
So the total no. of trains required for the east-west lines= ( 80 10 ) × 2 × 2 = 32 ( 10 80)×2×2=32
Total no. of trains required to service the city = 16+32 = 48
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