Main Line
Anton and Boris live next to a railway line. One morning a goods train passed Anton’s house travelling south just as a slower train passed Boris’s house travelling north. The goods train passed Boris’s house at the same time as a passenger train, heading north at a speed that was half as fast again as the goods train. Similarly, as the slower train passed Anton’s house it passed a passenger train; this was heading south at a speed that was three times as great as that of the slower train.
The passenger trains then passed each other at a point 25 kilometres from Anton’s house before simultaneously passing the two houses.
All four trains travelled along the same route and kept to their own constant speeds.
How far apart do Anton and Boris live?
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Send your solution to: The Sunday Times Teaser 3090, PO Box 29, Colchester, Essex CO2 8GZ or email puzzle.entries@sunday-times.co.uk. The first two correct solutions opened after next Saturday each win a £20 Waterstones voucher. Open to 18+ UK & ROI residents only.
Solution to Teaser 3088
15
The winners are: SE Dinwiddy, Bishop’s Stortford, Hertfordshire; W Slusar, Cambridge.