The first car traveled $132$ miles. The second car traveled $108$ miles.
Work Step by Step
New York City and Washington, D.C. are 240 miles apart. A car leaves New York City at noon, traveling directly towards Washington, D.C. at $55$ miles per hour. At the same time, another car leaves Washington, D.C. traveling towards New York City at $45$ miles per hour. The drivers meet for lunch at 2:24 p.m. The cars have traveled from 12:00 noon to 14:24 for a total of 2 hours and 24 minutes. 24 minutes is $24\div60=0.4$ hours. The first car traveled: $2.4*55=132$ miles. The second car traveled: $2.4*45=108$ miles.