Question

A woman drives a car from one city to another with different constant speeds along the trip. She drives at a speed of 80.0 km/h for 25.0 min, 65.0 km/h for 20.0 min, makes a stop for 60.0 min, then continues at 40.0 km/h for 30.0 min, at which point she reaches her destination.

Answer 1

Total distance traveled= 75.36km (point at which she reaches her destination.)

Step-by-step explanation:

With the speed and time data we can calculate the distance traveled on each path, but first we must transform the time units from minutes to hours:

First ride:

v=80km/h t=25min*1h/60min=0.42h

distancie= v*t = 80km/h * 0.42h =33.6km

Second ride:

v=65.0km/h t= 20min*1h/60min= 0.33h

distance= 65.0km/h*0.33h=21.67km

Stop: 60min= 1h distance=0km

third ride:

v= 40.0km/h t= 30.0min *1h/60min= 0.5h

distance= 40.0km/h*0.5h=20km

Total distance traveled= 33.6km +21.76km+20km

Total distance traveled= 75.36km