Question

Night trains run non-stop between King’s Cross and Edinburgh, a distance of \(392\) miles, as follows:

Edinburgh depart 10.00 p.m. King’s Cross depart 10.20 p.m.

King’s Cross arrive 6.10 a.m. Edinburgh arrive 5.48 a.m.

  1. Calculate the average speed of each train in m.p.h.

  2. If each train were to maintain a constant speed, find at what time the two trains would meet and at what distance from Edinburgh.

(A graphical method is recommended for this part of the question.)