Answer:
30 miles per hour.
Step-by-step explanation:
First work out the distance from home to work:
Speed = distance / time
45 = d / 1/3 ( Note: 20 minutes = 1/3 of an hour).
d = 1/3 * 45
= 15 miles.
Driving back home:
Speed = 15 / 1/2
= 30 mph (answer).
LCM of 3a^3c, 6b^4, b^2c^2:
LCM of 3 and 6 is 6
of a^3 is a^3
of b^2, b^4 is b^4
and of c and c^2 is c^2.
So the answer is:
= 6a^3b^4c^2