ABC of Relativity by Bertrand Russell - A layman strikes..

[birdman]

Hello all,

 

Hope someone can help with my understanding of a part of this book. Train is travelling at 3/5 the speed of light and passes a stationary observer at a point which an event in the direction of the train occurs - "An event which happens in the forward direction along the railway, and which the stationary observer judges to be now (or rather will judge to have been now when he comes to know of it) if it occurs at a distance along the line which light could travel in a second, will be judged by the traveller to have occurred 3/4 of a second ago"

 

From what I understand of this, the observer on the train will receive the light from the event before the stationary observer because it is travelling towards it and therefore will see it before the stationary observer (this may be incorrect) but I cannot see why it will be 3/4 of a second ago - can someone run me through this algebraically in order to put my mind at ease?

 

Many thanks for help in advance!