Answer:
68 hours
Step-by-step explanation:
Given
[tex]Rate = 8\ hours/ day[/tex]
[tex]Duration = 15\ days[/tex]
[tex]Time\ Spent = 52\ hours[/tex]
Required
Determine the time left
First, we need to determine the expected time for Alex's trip
[tex]Total\ Time = Rate * Duration[/tex]
[tex]Total\ Time = 8 * 15[/tex]
[tex]Total\ Time = 120[/tex]
The time left is calculated as thus:
[tex]Time\ Left = Total\ Time - Time\ Spent[/tex]
[tex]Time\ Left = 120 - 52[/tex]
Apply Distributive Property
[tex]Time\ Left = 120 - 52[/tex]
[tex]Time\ Left = 4(30 - 13)[/tex]
[tex]Time\ Left = 4(17)[/tex]
[tex]Time\ Left = 68[/tex]