We describe a deterministic model of packet delay and use it to derive both the packet pair [2] property of FIFO-queueing networks and a new technique (packet tailgating) for actively measuring link bandwidths. Compared to previously known techniques, packet tailgating usually consumes less network bandwidth, does not rely on consistent behavior of routers handling ICMP packets, and does not rely on timely delivery of acknowledgments. Preliminary empirical measurements in the Internet indicate that compared to current measurement tools, packet tailgating sends an order of magnitude fewer packets, while maintaining approximately the same accuracy. Unfortunately, for all currently available measurement tools, including our prototype implementation of packet tailgating, accuracy is low for paths longer than a few hops.