Question

Из двух городов одновременно навстречу друг другу отправились два велосипедиста. Проехав некоторую часть пути, первый велосипедист сделал остановку на 48 минут, а затем продолжил движение до встречи со вторым велосипедистом. Расстояние между городами составляет 168 км, скорость первого велосипедиста равна 15 км/ч, скорость второго — 30 км/ч. Определите расстояние от города, из которого выехал второй велосипедист, до места встречи.

Answer 1

За время, пока первый велосипедист делал остановку, второй велосипедист проехал 30*48/60=24км. Все остальное время они одновременно находились в пути, значит второй за это время проехал (144/15+30)*30=96 км. Значит, суммарно он проехал 96+24км=120 км.

Answer 2

Problem Analysis

We have two cyclists traveling towards each other from two different cities. The first cyclist makes a stop for 48 minutes and then continues until they meet the second cyclist. We are given the distance between the cities (168 km) and the speeds of the two cyclists (15 km/h and 30 km/h). We need to determine the distance from the city where the second cyclist started to the meeting point.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's break down the problem into steps:

1. Calculate the time it takes for the first cyclist to reach the meeting point after the stop. 2. Calculate the distance traveled by the first cyclist before the stop. 3. Calculate the time it takes for the second cyclist to reach the meeting point. 4. Calculate the distance traveled by the second cyclist. 5. Calculate the distance from the city where the second cyclist started to the meeting point.

Step 1: Calculate the time it takes for the first cyclist to reach the meeting point after the stop.

The time it takes for the first cyclist to reach the meeting point after the stop can be calculated using the formula: time = distance / speed.

The distance traveled by the first cyclist after the stop is the total distance between the cities minus the distance traveled before the stop. Therefore, the distance is 168 km - distance traveled before the stop.

Let's calculate the time it takes for the first cyclist to reach the meeting point after the stop: - Distance traveled before the stop: speed × time = 15 km/h × 48 min = 12 km. - Distance traveled after the stop: 168 km - 12 km = 156 km. - Time taken to travel 156 km: time = distance / speed = 156 km / 15 km/h.

Step 2: Calculate the distance traveled by the first cyclist before the stop.

We already calculated the distance traveled by the first cyclist before the stop in Step 1, which is 12 km.

Step 3: Calculate the time it takes for the second cyclist to reach the meeting point.

The time it takes for the second cyclist to reach the meeting point can be calculated using the formula: time = distance / speed.

The distance traveled by the second cyclist is the same as the distance traveled by the first cyclist after the stop, which is 156 km.

Let's calculate the time it takes for the second cyclist to reach the meeting point: - Time taken to travel 156 km: time = distance / speed = 156 km / 30 km/h.

Step 4: Calculate the distance traveled by the second cyclist.

We already calculated the distance traveled by the second cyclist in Step 3, which is 156 km.

Step 5: Calculate the distance from the city where the second cyclist started to the meeting point.

The distance from the city where the second cyclist started to the meeting point is the same as the distance traveled by the first cyclist before the stop, which is 12 km.

Therefore, the distance from the city where the second cyclist started to the meeting point is 12 km.

Answer

The distance from the city where the second cyclist started to the meeting point is 12 km.

Please let me know if I can help you with anything else.