Question

Два велосипедиста отправились из одного посёлка одновременно в противоположных направлениях.Через 30 мин расстояние между ними было 15км.Скорость одного изз них 260м/мин.Узнай скорость 2-го велосипедиста. (Вырази 15км в метрах.)

Answer 1

Problem Analysis

We have two cyclists who start from the same village simultaneously and travel in opposite directions. After 30 minutes, the distance between them is 15 km. We are given the speed of one cyclist, 260 m/min, and we need to find the speed of the second cyclist.

To solve this problem, we can use the formula:

Distance = Speed x Time

We know the distance between the cyclists after 30 minutes is 15 km. We can convert this distance to meters and use the formula to find the speed of the second cyclist.

Calculation

Let's calculate the speed of the second cyclist.

1. Convert the distance of 15 km to meters: - 1 km = 1000 m - Therefore, 15 km = 15,000 m

2. Use the formula: Distance = Speed x Time - Distance = 15,000 m - Time = 30 minutes = 30 minutes x 60 seconds/minute = 1800 seconds

Let's assume the speed of the second cyclist is v m/min.

For the first cyclist: - Speed = 260 m/min - Time = 1800 seconds

For the second cyclist: - Speed = v m/min - Time = 1800 seconds

Using the formula, we can set up the equation: - 260 m/min x 1800 seconds = v m/min x 1800 seconds + 15,000 m

Simplifying the equation: - 468,000 m = v m/min x 1800 seconds + 15,000 m

Rearranging the equation to solve for v: - v m/min x 1800 seconds = 468,000 m - 15,000 m - v m/min x 1800 seconds = 453,000 m - v m/min = 453,000 m / 1800 seconds

3. Calculate the speed of the second cyclist: - v m/min = 453,000 m / 1800 seconds - v m/min = 251.67 m/min (rounded to two decimal places)

Therefore, the speed of the second cyclist is approximately 251.67 m/min.

Answer

The speed of the second cyclist is approximately 251.67 m/min.

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