A woman on vacation travels the 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:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 44.44 km/hr
Average speed is total distance ÷ total time, not the average of the two speeds. The first 200 km are the first 150 km at 60 km/hr and only 50 km of the second stretch at 25 km/hr.
Time for 150 km at 60 km/hr \(=150\div60=2.5\) h
Time for the next 50 km at 25 km/hr \(=50\div25=2\) h
Average speed \(\displaystyle =\frac{200}{2.5+2}=\frac{200}{4.5}=44.44\) km/hr