You are driving home from school steadily at 95 km/h for 180 km. it then begins to rain and you slow to 65 km/h. you arrive home after driving 4.5 h. (a) how far is your hometown from school? (b) what was your average speed?

(a) 349.34

(b) 77.63 km/h

Step-by-step explanation:

Distance you covered before it rain S =  180 km

Speed v = 95/km

Time taken to cover 180 km =

                                               =  

                                               = 1.89473 hrs.

Total time to cover the distance between school to home T = 4.5 hrs.

Remaining time t = T - t

                             = 4.5 - 1.89473

                             = 2.60527 h.

Velocity after travel 180 km. v' = 65 km/h

Distance traveled in this velocity S' = v'(t)

                                                           = 2.60527 × 65

                                                           = 169.34 km

(a) distance of hometown from school = 169.34 + 180 = 349.34 km.

(b) Your average speed V =  

                                           =  

                                           = 77.63 km/h