**Work done by the typists and their rates**

Let's assume that the first typist's rate of work is x job/minute and the second typist's rate of work is y job/minute.

According to the given information, when they work together, they can complete the job in 6 minutes. So, their combined rate of work is 1/6 job/minute.

Using the concept of work and rate, we can write the equation as:
1/6 = x + y

**Work done by the first typist in 4 minutes**

When the first typist works alone for 4 minutes, the amount of work done by the first typist can be calculated as:
Work done by the first typist = (Rate of the first typist) x (Time taken by the first typist)
Work done by the first typist = x x 4 = 4x job

**Work done by the second typist in 6 minutes**

When the second typist works alone for 6 minutes, the amount of work done by the second typist can be calculated as:
Work done by the second typist = (Rate of the second typist) x (Time taken by the second typist)
Work done by the second typist = y x 6 = 6y job

**Remaining work after the individual efforts**

The remaining work can be calculated by subtracting the work done by the first typist and the work done by the second typist from the total work.

Remaining work = Total work - (Work done by the first typist + Work done by the second typist)
Remaining work = 1 - (4x + 6y) job

**Solving the equations**

We have two equations and two variables:
1/6 = x + y
Remaining work = 1 - (4x + 6y)

By solving these equations, we can find the values of x, y, and the remaining work. However, without additional information regarding the skills and rates of the typists, we cannot determine the exact values. Therefore, the remaining work cannot be determined without knowing the specific rates of work for each typist.