Answer: They are away for [tex]2\dfrac{3}{4}\ hours[/tex] from home.
Step-by-step explanation:
Since we have given that
Time to get there = [tex]\dfrac{1}{4}[/tex]
Time to get back = [tex]\dfrac{1}{4}[/tex]
Number of soccer games = 3
Time for each soccer games = [tex]\dfrac{3}{4}[/tex]
So, total time for 3 games would be
[tex]3\times \dfrac{3}{4}=\dfrac{9}{4}[/tex]
So, the time for which they will be away from home is given by
[tex]\dfrac{1}{4}+\dfrac{9}{4}+\dfrac{1}4}=\dfrac{1+9+1}{4}=\dfrac{11}{4}=2\dfrac{3}{4}\ hours[/tex]
Hence, they are away for [tex]2\dfrac{3}{4}\ hours[/tex] from home.