You travel 20.0 mph for 0.500 hour, 40.0 mph for...What is the total distance traveled?

20mph for 0.5hr

40mph for 1.0hr

30mph for 0.5hr

50mph for 2.0hr

Distance = speed * time

Distance = (20*0.5) + (40*1.0) + (30*0.5) + (50*2.0)

Distance = 10 + 40 + 15 + 100 = 165miles

If velocity = distance / time, then, remodeling that, distance = velocity(time). For the 1st distance: D = s(t) D = 2x(3) <--replace the words and simplify D = 6x <--it rather is the gap for the three hour holiday. For the 2nd distance: D = s(t) D = (x + 20)(2) <--sub in the words... D = 2(x) + 2(20) <--in basic terms slightly of distribution... some simplifying... and D = 2x + 40 Now, for the full distance, we in simple terms upload up the values for D in each section. complete Distance = (distance in 3hr holiday) + (distance in 2hr holiday) complete Distance = (6x) + (2x + 40) <--sub in the two expressions we've been given previously complete Distance = 6x + 2x + 40 <--drop all of the brackets! :) complete Distance = 8x + 40 <--simplify, and there we've it. So, the full distance of your 5-hour holiday is 8x + 40.

165 miles

165 miles :)