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?
*
1 point
1/6
1/3
3/8
9/8
To find the total time it took for Chester to drive all the way home, we first need to find the time it took for him to drive 2/3 of the way home.
Since it took Chester 1/4 of an hour to drive 2/3 of the way home, we can set up the equation: 1/4 = 2/3 * t, where t is the total time it takes for him to drive all the way home.
To solve for t, we can multiply both sides of the equation by 4/1: 1/4 * 4/1 = 2/3 * t * 4/1
This simplifies to 1 = 8/3 * t
Next, we can multiply both sides of the equation by 3/8 to isolate t: 1 * 3/8 = 8/3 * t * 3/8
This simplifies to 3/8 = t
Therefore, it will take Chester 3/8 of an hour, or 1/3 of an hour, to drive all the way home.
So the answer is: 1/3