Question

Из посёлка в город,расстояние до которого равно 144 км,в 9 ч утра отправился велописедист со скоростью 16 км ч.Два часа спустя навстречу ему из города отправился другой велосипедист со скоростью 12 км.ч.В котором часу произойдёт встреча велосипедистов?

Answer 1

Problem Analysis

We are given the following information: - The distance from the village to the city is 144 km. - The first cyclist starts from the village at 9:00 AM with a speed of 16 km/h. - Two hours later, the second cyclist starts from the city towards the village with a speed of 12 km/h.

We need to determine at what time the two cyclists will meet.

Solution

Let's break down the problem step by step:

1. Calculate the distance covered by the first cyclist in 2 hours. - The first cyclist travels at a speed of 16 km/h for 2 hours. - Therefore, the distance covered by the first cyclist in 2 hours is 16 km/h * 2 h = 32 km.

2. Calculate the remaining distance between the first cyclist and the city. - The total distance between the village and the city is 144 km. - The distance covered by the first cyclist in 2 hours is 32 km. - Therefore, the remaining distance between the first cyclist and the city is 144 km - 32 km = 112 km.

3. Calculate the relative speed between the two cyclists. - The second cyclist travels at a speed of 12 km/h. - Therefore, the relative speed between the two cyclists is 16 km/h + 12 km/h = 28 km/h.

4. Calculate the time it takes for the two cyclists to meet. - The time it takes for the two cyclists to meet can be calculated using the formula: time = distance / speed. - The distance between the first cyclist and the city is 112 km. - The relative speed between the two cyclists is 28 km/h. - Therefore, the time it takes for the two cyclists to meet is 112 km / 28 km/h = 4 hours.

5. Determine the time of the meeting. - The first cyclist started at 9:00 AM. - The first cyclist traveled for 2 hours before the second cyclist started. - Therefore, the meeting will occur 2 hours + 4 hours = 6 hours after 9:00 AM. - 6 hours after 9:00 AM is 3:00 PM.

Answer

The two cyclists will meet at 3:00 PM.

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