Question
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
*
1 point
1/6
1/3
3/8
9/8
Answers
GPT 3.5
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
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