Answer: Bob worked 5 3/4 hours on Monday and 7 1/2 hours on Tuesday.
Step-by-step explanation:
Let x represent the number of hours that Bob worked on Monday.
Bob worked 1 3/4 hour longer on Tuesday than he did on Monday. Converting 1 3/4 hours to improper fraction, it becomes 7/4 hours. This means that the number of hours that Bob worked on Tuesday is
x + 7/4
He worked a total 13 1/4 hours for the two days. Converting 13 1/4 hours to improper fraction, it becomes 53/4 hours. This means that
x + x + 7/4 = 53/4
2x = 53/4 - 7/4
2x = 46/4 = 11.5
x = 11.5/2
x = 5.75 hours
The number of hours that Bob worked on Tuesday is
5.75 + 7/4 = 5.75 + 1.75 = 7.5 hours
