Answer:
[tex]S = 149\ min[/tex]
or
[tex]S = 2\ hr\ 29\ min[/tex]
Step-by-step explanation:
Let S be the sum of the times for all winning team.
Given:
leg 1. 32 minutes 56 seconds.
leg 2. 42 minutes 28 seconds.
leg 3. 34 minutes 34 seconds.
leg 4. 39 minutes 2 seconds
We need to find the total time to run all four legs of the marathon.
Solution:
Sum of the times for all winning team.
[tex]Sum\ of\ the\ times = leg\ 1 + leg\ 2 + leg\ 3 + leg\ 4[/tex]
Substitute running times for all legs.
[tex]S = 32\ min\ 56\ sec+ 42\ min\ 28\ sec + 34\ min\ 34\ sec + 39\ min\ 2\ sec[/tex]
Now, we write the minutes and seconds separately.
[tex]S = (32+42+34+39)min+(56+28+34+2)sec[/tex]
[tex]S = (147)min+(120)sec[/tex]
[tex]120\ sec =\frac{120}{60} = 2\ min[/tex]
[tex]S = (147)min+(2)min[/tex]
[tex]S = 149\ min[/tex]
Therefore, Total time taken by all four legs [tex]S = 149\ min[/tex] or [tex]S = 2\ hr\ 29\ min[/tex].
