Answer:
Larissa takes 59.141 seconds to complete both laps.
Step-by-step explanation:
The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:
(i) She completes her first lap in 31.135 seconds:
[tex]x_{1} = 31.135\,s[/tex]
(ii) She completes her second lap 3.129 seconds faster than the first lap:
[tex]x_{2} = x_{1}-3.129\,s[/tex]
[tex]x_{2} = 31.135\,s - 3.129\,s[/tex]
[tex]x_{2} = 28.006\,s[/tex]
Then, the time taken by Larissa to complete both laps is:
[tex]\Delta x = x_{1} + x_{2}[/tex]
[tex]\Delta x = 31.135\,s+28.006\,s[/tex]
[tex]\Delta x = 59.141\,s[/tex]
Larissa takes 59.141 seconds to complete both laps.
