Question

Cai left his house for work and was gone 4 2/3 hours. he spent a total of 5/6 hours driving to and from work and didnt go anywhere else. How long was he at work?

A.5 1/2 hours
b. 3 5/6 hours
c. 3 1/6 hours
d. 4 1/6 hours

Answer 1

Cai spent 3 5/6 hours at work, which is option B from the student's selection. The calculation is made by subtracting the driving time from the total time Cai was gone.

Step-by-step explanation:

The student is asking about calculating the duration of time spent at work by subtracting the time spent driving from the total time away from home. To find the answer, we perform the following calculation:

• Convert the total hours Cai was gone, which is 4 2/3 hours, into an improper fraction: 4 2/3 = (4 × 3 + 2)/3 = 14/3.
• Take the total driving time, 5/6 hours, and subtract it from the total time gone to find the time spent at work.
• 14/3 hours - 5/6 hours = (28/6 hours - 5/6 hours) = 23/6 hours.
• Convert the result back to a mixed number: 23/6 hours = 3 5/6 hours. Hence, Cai spent 3 5/6 hours at work.

This matches option B from the selection given by the student.