Question

первый велосипедист едет из пункта А в пункт В со скоростью 6 км/ч. С какой скоростью едет второй велосипедист, если в пункт В они приехали одновременно,хотя второй внлосипедист выехал на 20 минут позже. Расстояние между пунктами 5 тыс. метров.

Answer 1

Problem Analysis

We have two cyclists traveling from point A to point B. The first cyclist travels at a speed of 6 km/h. The second cyclist starts 20 minutes later but arrives at point B at the same time as the first cyclist. We need to determine the speed at which the second cyclist is traveling.

Solution

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

Let's calculate the time it takes for the first cyclist to travel from point A to point B.

Given: - Speed of the first cyclist = 6 km/h - Distance between point A and point B = 5,000 meters

We need to convert the distance from meters to kilometers to match the speed unit.

1 kilometer = 1,000 meters

So, the distance between point A and point B is 5 kilometers.

To calculate the time taken by the first cyclist, we can use the formula: time = distance / speed.

Substituting the values, we get: time = 5 km / 6 km/h.

Now, let's calculate the time taken by the first cyclist.

Calculation

Using the formula: time = distance / speed.

For the first cyclist: - Distance = 5 km - Speed = 6 km/h

time = 5 km / 6 km/h

Calculating the time taken by the first cyclist: time = 0.8333 hours

Since the second cyclist starts 20 minutes (or 1/3 of an hour) later and arrives at the same time as the first cyclist, we can subtract this time from the total time taken by the first cyclist.

Adjusted time for the second cyclist = time taken by the first cyclist - time delay

Adjusted time for the second cyclist = 0.8333 hours - 1/3 hours

Calculating the adjusted time for the second cyclist: Adjusted time for the second cyclist = 0.8333 hours - 0.3333 hours = 0.5 hours

Now, we can calculate the speed of the second cyclist using the adjusted time and the same distance.

Using the formula: speed = distance / time.

For the second cyclist: - Distance = 5 km - Time = 0.5 hours

speed = 5 km / 0.5 hours

Calculating the speed of the second cyclist: speed = 10 km/h

Answer

The second cyclist is traveling at a speed of 10 km/h.

Explanation

The first cyclist travels from point A to point B at a speed of 6 km/h. The distance between the two points is 5 kilometers. The time taken by the first cyclist to cover this distance is calculated using the formula: time = distance / speed. The time is found to be 0.8333 hours.

The second cyclist starts 20 minutes (or 1/3 of an hour) later but arrives at point B at the same time as the first cyclist. To calculate the adjusted time for the second cyclist, we subtract the time delay from the total time taken by the first cyclist. The adjusted time for the second cyclist is found to be 0.5 hours.

Using the adjusted time and the same distance, we can calculate the speed of the second cyclist using the formula: speed = distance / time. The speed of the second cyclist is found to be 10 km/h.

Therefore, the second cyclist is traveling at a speed of 10 km/h.