Question: Two towns have coordinates (5, 18) and (17, 24). A rail track is laid along the line with equation y = x + 10 and

Two towns have coordinates (5, 18) and (17, 24). A rail track is laid along the line with equation y = x + 10 and a station is to be built to serve the two towns. Distances are in kilometres.

Find the position the station should be built to minimize the total distance between the station and the two towns and state this distance.

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