### Brain Teasers

# The Kebab Express

In the land of MADADIA there are two cities, one called Kebabville and one called Kebabchester. Each at opposite ends of the country. There is a train service between the two cities called the "Kebab Express" that starts at 10:00pm for each city and arrives at their respective destinations at 11:30pm three days later. So a train will leave every day from either city at 10:00pm and arrive at the opposite city at 11:30pm in three days time.

One day Mad Ade got on the train at Kebabville and travelled all the way to Kebabchester. How many other "Kebab Express" trains would Mad Ade see go the opposite direction during his journey?

One day Mad Ade got on the train at Kebabville and travelled all the way to Kebabchester. How many other "Kebab Express" trains would Mad Ade see go the opposite direction during his journey?

### Answer

Mad Ade would see seven "Kebab Express" trains go past in the opposite direction.Let's say that Mad Ade travelled on the "Kebab Express" on Wednesday 10:00PM from Kebabville. The first train he would have crossed is the one scheduled to arrive at Kebabville at 11:30 PM the same day i.e. the one that left Kebabchester at 10:00 PM on last Sunday.

He will pass 7 other trains before arriving at his destination. The first, he will see approximately 45 minutes after departure. Then he will see one train approximately every 12 hours for three days. This is because the trains leave from each end of the track once every 24 hours travelling toward each other.

Also, he would have crossed the last train just before reaching Kebabchester on Saturday.

Thus, Mad Ade must have crossed 7 "Kebab Expresses" during his journey.

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