you are driving home from school steadily at 95 km/h for 180 km. It then begins to rain and you slow down to 65 km/h. You arrive home after driving 4.5 hours. How far is your hometown from school?

x=180km + (95km/h)(4.5h) + (1/2)(-30km/h)(4.5h)^2

I calculated 303.75 km, but my book says the answer is 350 km.

1 answer

you drove how long at 95?
180 km / 95 km/hour = 36/19 hour

(45/10 - 36/19)hours at 65

about (90/20 - 36/20)65
= 54*65/20 = 175.5 km approximately

175 + 180 = 355 km approximately
I do not feel like turning my calculator on. You can do it accurately.