The total length of two ships is 2321 feet. The difference in their lengths is 17 feet. Find the length of each ship. If a football field has a length of 100​ yards, determine the length of the longer ship in terms of number of football fields.

Respuesta :

The length of the longer ship in terms of number of football fields is;

4 football fields

Let the length of ship 1 be x

Let the length of ship 2 be y

Total length of both ships is 2321 ft

Thus;

x + y = 2321  ----(eq 1)

The difference in their lengths is 17 ft

Thus;

x - y = 17    ----(eq 2)

Add eq 1 to eq 2 to get;

2x = 2338

Thus; x = 2338/2

x = 1169 ft

Put 1169 for x in eq 1 to get;

1169 + y = 2321

y = 2321 - 1169

y = 1152 ft

Longer ship = 1169 ft long

From conversion tables;

1 ft = 1/3 yards

Thus; 1169 ft = 1169 * 1/3 = 389.67 yards

A football field has a length of 100 yards

Then number of football fields for the length of the longer ship = 389.67/100 = 3.8967 ≈ 4 football fields.

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