Train problem: No of trains and cross points
Here is a real world problem.
- Train takes 33 hours to reach from Secundarabad (SC) to Patna (PNBE).
- Train from SC leaves @ 10:00 every day
- Train From PNBE leaves @ 12:00 every day
- There is single route for each sides.
- Off-course when one train from one station reaches to other, it will be ready for next departure to back to origin station.
- How many trains needed to operate this route?
- How many cross point will happen by a train during journey with its co-trains?
Replies
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Igneta D'Souza
1. Five Trains.ianoopHere is a real world problem.
- Train takes 33 hours to reach from Secundarabad (SC) to Patna (PNBE).
- Train from SC leaves @ 10:00 every day
- Train From PNBE leaves @ 12:00 every day
- There is single route for each sides.
- Off-course when one train from one station reaches to other, it will be ready for next departure to back to origin station.
- How many trains needed to operate this route?
- How many cross point will happen by a train during journey with its co-trains?
what is a cross point? -
Anoop Kumar
what is a cross point?
While journey how many times a train from one side will cross the train coming from other side.
Can you justify why not 4 trains would be enough?
PS: this is real world problem check trains (12791/12792) on IRCTC.co.in or erail.in . I am also don't know exact answer. -
Igneta D'Souza
oops! sorry. It should be four trains.ianoopWhile journey how many times a train from one side will cross the train coming from other side.
Can you justify why not 4 trains would be enough?
PS: this is real world problem check trains (12791/12792) on IRCTC.co.in or erail.in . I am also don't know exact answer.
If a train starts at 10.00, it will reach PNBE the next day at 19.00. The number of 10hrs and 12hrs in this 33hr gap is four. Therefore 4 trains are needed to operate this route.
2)3 cross points will happen with its co-trains. -
Jeffrey Arulraj
And this part is really puzzling me How is it that has 3 aloneigneta2)3 cross points will happen with its co-trains.
I am of the opinion that there can be 4 cross over as the (n-1)th train will also cross over right
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