The distance between points A and B is 20 km. Two tourists came out of these points at the same time towards

| April 30, 2021 | education

The distance between points A and B is 20 km. Two tourists came out of these points at the same time towards each other. One went at a speed of 4 1/2 km / h, and the second 5 1/2 km / h. Having met the tourists, they continued walking in their direction. How long after the start of the movement was the distance between them equal to 4 km?

Tourists go towards each other, which means they are getting closer. Let’s find the speed of convergence of tourists:

V = 4 ½ + 5 ½ = 10 (km / h).

There will be 4 km between tourists in two cases: the first time is before the meeting of these tourists, and the second time – after their meeting. Let’s consider both cases.

I. The distance that tourists will have to go so that they have 4 km left before the meeting is equal:

S = 20 – 4 = 16 (km).

Let’s calculate the time:

T = S / V = ​​16/10 = 1.6 (h).

II. The distance that tourists will have to go so that between them after the meeting is 4 km is equal to:

S = 20 + 4 = 24 (km).

Let’s calculate the time:

T = 24/10 = 2.4 (h).

Answer: the distance between tourists will be 4 km after 1.6 hours and 2.4 hours after the start of the movement.



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