Bob worked 1 3/4 hour longer on Tuesday then he did on Monday he worked a total 13 1/4 hours for the two days how many hours did he work Monday and Tuesday?

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