Trains on the Glasgow Subway depart every 4 minutes, and a complete circuit takes 24 minutes. Ewan sets off at 8.30 am on a train round in one direction at the same time as another train leaves in the opposite direction. How many trains will he pass on a complete circuit back to his starting station? Do not count trains at the start or end station.

Question

Kali Clay

Mathematics

4 February, 17:40

Trains on the Glasgow Subway depart every 4 minutes, and a complete circuit takes 24 minutes. Ewan sets off at 8.30 am on a train round in one direction at the same time as another train leaves in the opposite direction. How many trains will he pass on a complete circuit back to his starting station? Do not count trains at the start or end station.

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Answers (1)

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Dixon · Answer 1

Trains depart after every 4 minutes.

Total time train takes to complete a circuit = 24 minutes

Evan sets off at 8:30 am, so he will be back at 8:54 am.

So time of trains coming in opposite direction:

8: 34 am

8:38 am

8:42 am

8:46 am

and 8:50 am

5 trains coming in opposite directions.

Now the trains started at 8:06 am from the stations are:

8:06 am

8:10 am

8:14 am

8:18 am

8:22 am

and 8:26 am.

So there are 6 trains started the circuit at 8:06 am.

Now total number of trains=6+5=11 trains

Answer: 11 trains will pass on complete circuit.