A woman on vacation travels first 150 km at 60 km/hr and the next 150 km at 25 km/hr. The average speed for the first 200 km of the tour is:

44.44 km/hr

Distance = Speed × Time

Time (to travel first 150 km) = \(\frac{150}{60}\) = \(\frac{5}{2}\)

Time (to travel next 50 km) = \(\frac{50}{25}\) = 2

Total time taken to travel 200km = \(\frac{5}{2}\) + 2 = \(\frac{9}{2}\)

Average speed = \(\frac{200}{\frac{9}{2}}\) = \(\frac{400}{9}\) = 44.44 km/hr