You are to drive to an interview in another town, at a distance of 300 km on an

Question

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 120 km, but then construction work forces you to slow to 43.0 km/h for 43.0 km. What would be the least speed needed for the rest of the trip to arrive in time for the interview? 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 120 km, but then construction work forces you to slow to 43.0 km/h for 43.0 km. What would be the least speed needed for the rest of the trip to arrive in time for the interview?

Explanation / Answer

t1 = 120 / 100 = 1.2 hr

t2 = 43 / 43 = 1.0 hr

t3 = 3 hr 15 min - 1.2 hr - 1.0 hr = 0.95 hr

Distance to town s3 = 300 - 120 - 43 = 137 km

least speed needed for the rest of the trip to arrive in time for the interview

= 137 km / 0.95 hr

= 144.2 km/hr

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