MBPF Bank on the average receives $20$ loan applications per hour. Each loan application goes through an initial processing stage, where an "accept" or "reject" decision is made. Approximately $80\%$ of the loans are accepted. Accepted loans require additional processing. Rejected loans require no additional processing. Suppose that on the average $5$ loans applications are in the initial processing stage, and $25$ accepted loan applications are in an additional processing stage.

$1.$ What is the average processing time required for a rejected loan?

The potential answers are:

A: $18$ minutes.

B: $16\mathrm{.}8$ minutes.

C: $14\mathrm{.}55$ minutes.

D: $13\mathrm{.}5$ minutes.

E: $15$ minutes.

D

$2.$ What is the average processing time required for an accepted loan?

The potential answers are:

A: $106\mathrm{.}24$ minutes.

B: $102\mathrm{.}51$ minutes.

C: $84\mathrm{.}48$ minutes.

D: $67\mathrm{.}85$ minutes.

E: $108\mathrm{.}75$ minutes.

$3.$ What is the average processing time required for a loan application?

The potential answers are:

A: $93$ minutes.

B: $76\mathrm{.}8$ minutes.

C: $90$ minutes.

D: $51$ minutes.

E: $120$ minutes.