Answer:
B. 33 1/3%
Step-by-step explanation:
The total time, they played in the pool,
t = 2 hours =2x60= 120 minutes.
The time in which, they swam in the pool, [tex]t_1 =45[/tex] minutes.
The time in which, they played on the water slides, [tex]t_2 =35[/tex] minutes.
They played sand volleyball for the rest of the time.
Let [tex]t_3[/tex] be the time in which, they played sand volleyball.
So, the total time= [tex]t_1+t_2+t_3 = t[/tex]
Using the given values, we have
[tex]45+35 +t_3=120[/tex]
[tex]\Rightarrow t_3=120-80=40[/tex] minutes
The percentage of time for which they played volleyball
[tex]=\frac{t_3}{t}\times 100[/tex]
[tex]=\frac{40}{120}\times 100[/tex]
[tex]=33\frac{1}{3} \%[/tex]
Hence, option (B) is correct.