It took Chester 1/4 of an hour to drive 2/3 of the way home. How many hours will it take him to drive all the way home?
To solve this problem, we need to find the total amount of time it takes Chester to drive all the way home.
First, we need to find the fraction of the way he drove in 1/4 of an hour. Since he drove 2/3 of the way home in 1/4 of an hour, we can use the equation:
(2/3) = x/(1/4)
To solve for x, we multiply both sides of the equation by (1/4):
(2/3)*(1/4) = x
2/12 = x
Now we can simplify the fraction to find x:
1/6 = x
So, Chester drove 1/6 of the way home in 1/4 of an hour.
To find how long it will take for him to drive the whole way home, we need to find the total amount of time it would take him to drive 1/6 of the way 6 times.
Since it takes him 1/4 of an hour to drive 1/6 of the way, we can multiply 1/4 by 6 to find the total time it will take him to drive all the way home:
(1/4) * 6 = 6/4 = 3/2
Therefore, it will take Chester 3/2 of an hour to drive all the way home.