BMAT 2008 · Question 27 · Rates
SaveAn army convoy is 1 km long. The General at the front wants to send a message to the rearmost vehicle, so he tells a motorcycle courier to go to the back, hand over the message and return. The courier hands over the message while the rearmost vehicle is moving, and returns immediately. It takes him half a minute to get to the back and 3 minutes to return to the front.
If the convoy and courier travel at constant speeds, how fast does the courier travel?