Answer:
Option E.
Step-by-step explanation:
Let the intended length of Rebecca's swimming is = x units
and we assume the length of the pool = l units
Now it is given in the question that " She covers one fifth of her intended distance "
That means distance covered = [tex]\frac{x}{5}[/tex]
" After swimming six more lengths of the pool she had covered one quarter of her intended distance"
So [tex]\frac{x}{5}+6(l)=\frac{x}{4}[/tex]
[tex]6l=\frac{x}{4}-\frac{x}{5}[/tex]
[tex]6l=\frac{x}{20}[/tex]
x = 20×(6l)
x = 120l
Therefore, Rebecca has to complete 120 lengths of the pool.
Option E is the answer.
