If your mother takes you to your grandparents house for dinner. She drives 60 minutes at a constant speed of 40 miles per hour. She reaches the highway, quickly speeds up, and drives for another 30 minutes at a constant speed of 70 miles per hour. How far did you and your mother travel altogether

75 miles

Step-by-step explanation:

Distance Traveled at first 60 min.

let distance be d1, speed be d1 and time be t1

d1 = ?

t1 = 60 min = 1 hr

s1 = 40mil/hr.

d1 = t1 * s1

d1 = 1 * 40

d1 = 40 miles

Part 2

distance = d2 = ?

speed = s2 = 70 mil/hr

time = t2 = 30 min = 0.5 hr

d2 = t2 * s2

d2 = 0.5 * 70

d2 = 35 miles

Total distance Traveled = d1 + d2

40 + 35 = 75 miles