A hurricane traveled 279 miles in 3 hours. If the average rate at which the hurricane is moving increases by 6%, what is the distance that the hurricane will travel in the following 5 hours?
A. 495 miles
B. 492.9 miles
C. 439.6 miles
D. 435 miles
If the hurricane traveled 279 miles in 3 hours, then the average rate of travel is 279 miles / 3 hours = <<279/3=93>>93 miles/hour.
If the average rate at which the hurricane is moving increases by 6%, then the new rate of travel is 93 miles/hour + 6% * 93 miles/hour = 93 miles/hour + 5.58 miles/hour = 98.58 miles/hour.
In 5 hours, at the new rate of travel, the hurricane will travel 98.58 miles/hour * 5 hours = <<98.58*5=492.9>>492.9 miles.
Thus, the answer is B. 492.9 miles.