Final answer:
To find the lengths of carriers A and B, we can set up a system of equations. The length of carrier A is 1094 feet and the length of carrier B is 1084 feet. In terms of football fields, carrier A is approximately 3.65 football fields long.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's assume that the length of carrier A is x feet. Since carrier A is longer than carrier B by 10 feet, we can represent the length of carrier B as (x-10) feet.
The total length of the two carriers is given as 2178 feet, so we can write the equation: x + (x-10) = 2178. Simplifying this equation gives us 2x - 10 = 2178.
Adding 10 to both sides of the equation, we have 2x = 2188. Dividing both sides by 2, we find x = 1094. Therefore, the length of carrier A is 1094 feet, and the length of carrier B is (1094-10) = 1084 feet.
To find the length of carrier A in terms of the number of football fields, we first need to convert the length of a football field from yards to feet. Since a football field is 100 yards long, we can multiply this by the conversion factor 3 feet/yard to find that a football field is 300 feet long. Dividing the length of carrier A (1094 feet) by the length of a football field (300 feet), we get approximately 3.65 football fields.