Answer:
Lola was in lead for
of a mile.
Explanation:
We have been given that Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance.
To find the fraction of a mile for which Lola was in the lead, we need to find 4/5 of 3/10 as:
![\text{Fraction for which Lola was in lead}=(3)/(10)*(4)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/29m7iczczu9y6epbe00mkets9pg1ug8yse.png)
![\text{Fraction for which Lola was in lead}=(3)/(5)*(2)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/h01w8qm5ckjwi0n9b400kh72gh8rt8wam6.png)
![\text{Fraction for which Lola was in lead}=(3*2)/(5*5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/fm59a89m30y8oqegck08oyo4lblbh4ehgv.png)
![\text{Fraction for which Lola was in lead}=(6)/(25)](https://img.qammunity.org/2021/formulas/mathematics/high-school/3vanlh7dtixve7s2r69l6wfzgpubs7t6yl.png)
Therefore, Lola was in lead for
of a mile.