The pedestrian expected that moving at a certain speed he would cover the path in 2.5 hours.

| May 28, 2021 | education

The pedestrian expected that moving at a certain speed he would cover the path in 2.5 hours. But he walked at a speed exceeding the target by 1 km / h, so he covered the path in 2 hours. We need to find the length of the path.

By the condition of the problem, we know that the pedestrian expected to cover the entire path in 2.5 hours. We also know that its speed was 1 km / h higher and it took only 2 hours to travel. Based on all the data, to begin with, we will formulate everything into an equation and solve it.

Let x be the intended speed of the pedestrian.
Let x + 1 be the actual speed of the pedestrian.

Let’s make an equation.

2.5x = (x + 1) * 2;
2.5x = 2x + 2;
2.5x – 2x = 2;
0.5x = 2;
x = 2: 0.5;
x = 4 (km) – the intended speed of the pedestrian.

Now we can find the length of the path.

4 * 2.5 = 10 (km) – the length of the pedestrian’s path.

Answer: the length of the pedestrian’s path is exactly 10 kilometers.



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