Question

З двох пунктів відстань між якими дорвнює 51 км, одночасно назустріч один одному виїхали два велосипедисти. Швидкість першоговелосипедисті дорівнює 15,3 км.год що становить 0,6 швидкості другого. Через який час після виїзду відстань між ними буде дорівнвати 22,44 км? (Розглянути два випадки - момент часу до зустрічі та після зустрічі)

Answer 1

51 УМНОЖИТИ 15 3 РАВНО765 ДРУГА ДИЯ 22 44 ДОДАТИ 06 РАВНО 50

Answer 2

Problem Analysis

To solve this problem, we need to find the time it takes for two cyclists, traveling towards each other, to meet. We are given the distance between them, the speed of the first cyclist, and the ratio of the speeds of the two cyclists. We'll consider two cases: the time before they meet and the time after they meet.

Case 1: Time Before They Meet

Let's denote: - d: the distance between the cyclists - v1: the speed of the first cyclist - v2: the speed of the second cyclist - t: the time it takes for them to meet

We know that the total distance they cover when traveling towards each other is equal to the distance between them. Therefore, we can use the formula: d = (v1 + v2) * t

Case 2: Time After They Meet

After they meet, the distance between them will start decreasing. We can use the same formula as in Case 1 to find the time it takes for the distance between them to become 22.44 km.

Solution

Let's calculate the time it takes for the distance between them to become 22.44 km in both cases.

Case 1: Time Before They Meet

Given: - d = 51 km - v1 = 15.3 km/h - v2 = 0.6 * v1

We can use the formula d = (v1 + v2) * t to find the time it takes for them to meet.

Case 2: Time After They Meet

We'll use the same formula d = (v1 + v2) * t to find the time it takes for the distance between them to become 22.44 km.

Let's calculate the time in both cases.