A column of soldiers a mile long is marching at constant speed. A messenger leaves his post at the rear of the column and walks to its front, where he delivers a message to his sergeant and then returns to his post. If he arrives back to exactly the position he would have found himself in had he not delivered the message but instead continued marching in formation, then how far did he walk, given that he maintained a constant speed throughout his excursion?
I've tried calling the speed of the column v and the speed of the messenger u. I can say that
1/(u-v) + 1(u+v) = time taken
But I'm stuck as to what to do after this. Any help would be greatly appreciated!
I've tried calling the speed of the column v and the speed of the messenger u. I can say that
1/(u-v) + 1(u+v) = time taken
But I'm stuck as to what to do after this. Any help would be greatly appreciated!