Tuesday 26 October 2010

The Travelling Salesman Problem

A truck departs at 5.30am, travelling east at 55 mph.

Jack leaves home at 5.39am. Travelling 430 miles within his territory, and visiting five towns. Each town takes about an hour to travel between, and each meeting Jack has takes approximately 25 minutes.

Jack has three assignations en route that will take around 30 minutes each.

Which rep is going to receive a truncated presentation?

Jack has parked his car 175 yards from Kelly's trailer.

To reach it, how fast will Jack have to run, considering her husband owns a Remington 1100 shotgun with a muzzle velocity of around 1700 ft/s and an effective range of 100 yards?

For extra credit, following a recent anonymous tip received by his long suffering wife, express the chances of Jack's brakes operating correctly while approaching a truck at a crossroads at 72 mph?

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