A student has $3$ total hours available for studying every night. An op's professor assigns her students

$10$ op's questions every day. After the student "prepares himself" to work on operations, each problem takes $6$ minutes to complete. An accounting professor similarly assigns her students $10$ questions every day, each of which takes $6$ minutes to complete after the student is "prepared" to work on accounting.

The student is "prepared" to immediately work on the next op's problem if he just completed an op's problem, and similarly he is "prepared" to immediately work on an accounting problem if the student just completed an accounting problem. Unless he just completed an op's problem, it takes the student $5$ minutes to get prepared before tackling an op's problem, and similarly, unless he just completed an accounting problem it takes him $5$ minutes to get prepared to tackle an accounting problem.

Match the following statements with the correct answers!

Group of answer choices

What is the "pure process time" associated with completing one homework problem?

$6$ minutes

What is the minimum amount of time the student needs to study each night?

$130$ minutes

If the student works in batches of $5,$ then how long does the student need to study each night?

$180$ minutes

If the student works in batches of $2,$ then how long does the student need to study each night?

$[$ Choose $]$

If the student works in batches of $1,$ then how long does the student need to study each night?