A person travels by car from one city to another with differem constan1 speeds between pairs of cities. She drives for 30.0 min at 80.0 km/h, 12.0 min at 100 km/h, and 45.0 min at 40.0 km/h and spends 15.0 min eating lunch and buying ga .

(a) Determine the average peed for t he trip.
(b) Determine the d istance between the initial and final cit ies along the route.

Respuesta :

Answer:

a.52.9 km/h

b.90 km

Explanation:

We are given that

[tex]v_1=89km/h[/tex]

[tex]t_1=30min[/tex]

[tex]v_2=100km/h[/tex]

[tex]t_2=12min[/tex]

[tex]v_3=40km/h[/tex]

[tex]t_3=45 min[/tex]

Time spend on eating lunch and buying ga=15 min.

a.Total time=30+12+45+15=102 minute=[tex]\frac{102}{60}=1.7 hour[/tex]

1 hour=60 minutes

Distance=[tex]speed\times time[/tex]

[tex]d_1=v_1\times t_1=80\times\frac{30}{60}=40km[/tex]

[tex]d_2=100\times \frac{12}{60}=20 km[/tex]

[tex]d_3=40\times \frac{45}{60}=30 km[/tex]

Total distance=[tex]d_1+d_2+d_3=40+20+30=90km[/tex]

Average speed=[tex]\frac{total\;speed}{total\;time}[/tex]

Using the formula

Average speed=[tex]\frac{90}{1.7}=52.9Km/h[/tex]

b.Total distance between the initial and final city lies along the route=90 km