A company has budgeted AED 328,000 to be used by both the marketing department and the finance department. The marketing department uses cash at the rate of AED 42,000 per month, which is three times the rate of the finance department. How many months until the budgeted amount is used up? Round all amounts to the nearest tenth.

A 7.8 months

B 5.9 months

C 2.6 months

D 6.2 months