Two pedestrians were at a distance of 4.6 km from each other. They went to meet each other

| May 7, 2021 | education

Two pedestrians were at a distance of 4.6 km from each other. They went to meet each other and met in 0.8 hours. Find the speed of each pedestrian if the speed of one of them is 1.3 times the speed of the other.

To solve the problem, let’s compose an equation. Let’s designate the speed of the first pedestrian as x km / h, then the speed of the second pedestrian will be 1.3x. Knowing that the distance is equal to the product of speed and time and taking into account that pedestrians are moving towards each other, we will compose an equation from which we will determine the speed of the first pedestrian:

(x + 1.3x) * 0.8 = 4.6;

2.3x * 0.8 = 4.6;

1.84x = 4.6;

x = 4.6: 1.84;

x = 2.5 (km / h).

Let’s determine the speed of the second pedestrian, knowing that it is 1.3 times higher than the speed of the first:

2.5 * 1.3 = 3.25 (km / h).

Answer: The speed of the first pedestrian is 2.5 km / h, the speed of the second pedestrian is 3.25 km / h.



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