Question

Из пункта а в пункт б выехал велосипедист со скоростью 12 1/2 км в час, спустя 24 минуты навстречу ему по той же дороге из пункта б выехал другой велосипедист скорость которого на 7/10 км в час меньше скорости первого велосипедиста. На каком расстоянии от пункта а велосипедисты встретятся, если 3/5 расстояния от а до б составляют 27 3/10 км

Answer 1

Ответ:

25  5/6 км.

Пошаговое объяснение:

24 минуты=0,4 часа

12,5-0,7=11,8 (км/час) скорость второго велосипедиста

27,3:0,6=45,5 (км) расстояние между А и Б

Пусть первый проехал до встречи х км, тогдо второй 45,5-х км.

Составим уравнение:

х/12,5 - (45,5-х)/11,8 = 0,4

11,8х-568,75+12,5х=59

24,3х=627,75

х=25  5/6.

На расстоянии 25 5/6 км от А велосипедисты встретились.

Answer 2

Problem Analysis

To solve this problem, we need to find the distance from point A where two cyclists, traveling towards each other, will meet. We are given the speeds of the cyclists, the time it takes for them to meet, and the fraction of the distance between points A and B.

Given Information

- Speed of the first cyclist: 12 1/2 km/h - Speed difference between the second cyclist and the first cyclist: 7/10 km/h - Time taken for the cyclists to meet: 24 minutes - Fraction of the distance from A to B: 3/5 - Fraction distance value: 27 3/10 km

Solution

Let's calculate the distance from point A where the cyclists will meet.

Calculations

First, we need to find the total distance between points A and B: - Fraction distance value = 27 3/10 km - Fraction of the distance from A to B = 3/5 - Total distance = Fraction distance value / (3/5)

Total distance = 27 3/10 / (3/5)

Total distance = 27 3/10 / (3/5) = 27 3/10 * (5/3) = 27 3/2 = 41 1/2 km

Now, we can find the combined speed of the two cyclists: - Speed of the first cyclist = 12 1/2 km/h - Speed difference between the second cyclist and the first cyclist = 7/10 km/h

Combined speed = Speed of the first cyclist + Speed of the second cyclist Combined speed = 12 1/2 + (12 1/2 - 7/10) = 12 1/2 + 12 1/2 - 7/10 = 25 - 7/10 = 24 3/10 km/h

Finally, we can find the time it takes for the cyclists to meet: - Time taken for the cyclists to meet = 24 minutes - Convert time to hours: 24 minutes = 24/60 hours = 2/5 hours

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