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A rectangular garden has a length that is 3 meters more than twice its width. If the perimeter is 54 meters what are the dimensions of the garden?

Let w = width. Then length = 2w + 3.

Perimeter = 2(length + width) = 54

Substitute: 2((2w + 3) + w) = 54

Simplify: 2(3w + 3) = 54 → 6w + 6 = 54

Solve: 6w = 48 → w = 8

Length = 2(8) + 3 = 19

The dimensions are 8 meters (width) and 19 meters (length).

#### 8 meters by 19 meters

A train leaves Station A traveling at 60 km/h. Two hours later a faster train leaves Station A along the same route at 90 km/h. How far from Station A does the faster train catch up?

Let t be the time (in hours) the faster train travels when it catches up.

Distance traveled by first train: 60(t + 2)