The length of the rectangular park is 400 m more than its width, and the ratio of length and width is 5: 3

The length of the rectangular park is 400 m more than its width, and the ratio of length and width is 5: 3 how long it will take for a pedestrian to get around the park if his speed is 2 km / h.

The ratio of length to width is 5: 3, let’s denote the ratio of the ratio as X, then the length is 5x, and the width is 3x. From the difference is equal to 400 m.We form and solve the equation:

5x – 3x = 400;

2x = 400;

x = 200.

Hence, the length is 5x = 5 * 200 = 1000 m, and the width is 3x = 3 * 200 = 600 m.

Let’s find the perimeter of the entire park: P = (1000 + 600) * 2 = 1600 * 2 = 3200 m.

We translate meters into kilometers: 3200 m = 3.2 km.

This means that the pedestrian’s path is 3.2 km, its speed is 2 km / h, we will find the travel time.

t = S / v; t = 3.2: 2 = 1.6 h.

Answer: It will take a pedestrian 1.6 hours.