At the end of each week, a law firm, accounting firm and actuarial firm provide services to outside clients and to each

other.

The law firm has $52$ hours of outside work per week. For each hour which the law firm performs, it requires $5$ minutes

of its own services, $15$ minutes of accounting services and $6$ minutes of actuarial services.

The accounting firm has $57$ hours of outside contracts per week. For each hour which the accounting firm performs, it

requires $12$ minutes of legal services, $5$ minutes of its own services and $6$ minutes of actuarial services.

The actuarial firm provides $33$ hours of outside work per week. For each hour which the actuarial firm performs, it

requires $30$ minutes of legal services, $30$ minutes of accounting services and $10$ minutes of its own services.

How much work does each company have to perform per week?

The law firm:

hours.

The accounting firm:

hours.

The actuarial firm:

hours.

$($Give your answers to at least $4$ significant figures. Only enter the numerical value; do not enter the word hours.$)$