Problem: You are to drive to an interview in another town, at a distance of 300 km on an expressway. The interview is at 11:15 a.m. You plan to drive at 100 km/h, so you leave at 8:00 a.m. to allow some extra time. You drive at that speed for the first 110 km, but then construction work forces you to slow to 42.0 km/h for 40.0 km.
Part A: What would be the least speed needed for the rest of the trip to arrive in time for the interview?
Please show all work and steps to solve the above problem.