Question

Два велосипедиста выехали одновременно из города до базы отдыха. Один ехал со скоростью 10 км / ч, а второй - 13 км / ч. Через 2 ч второй велосипедист проколол камеру, потому дальше шел пешком со скоростью 4 км / ч. На каком расстоянии от города первый велосипедист догонит второго?

Answer 1

1) 10✖2= 20 (км) - проехал первый велосипедист за 2 часа;

2) 13✖2= 26 (км) - проехал второй велосипедист за 2 часа;

3) 26➕4= 30 (км) - второй велосипедист проехал и прошел за 3 часа;

4) 20➕10= 30 (км) - проедет первый за 3 ч;

Ответ: на расстоянии 30 км от города первый велосипедист догонит второго.

Answer 2

Problem Analysis

Two cyclists start simultaneously from a city to a recreational base. One cyclist travels at a speed of 10 km/h, while the other cyclist travels at a speed of 13 km/h. After 2 hours, the second cyclist gets a flat tire and continues on foot at a speed of 4 km/h. We need to determine at what distance from the city the first cyclist will catch up to the second cyclist.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the two cyclists is the difference in their speeds. In this case, the relative speed is 13 km/h - 10 km/h = 3 km/h.

Since the second cyclist has a head start of 2 hours, the first cyclist needs to cover the same distance in less time to catch up. We can calculate the time it takes for the first cyclist to catch up using the formula:

Time = Distance / Speed

Let's assume the distance from the city to the recreational base is D km. The time it takes for the first cyclist to catch up to the second cyclist is:

Time = D / 3

Since the first cyclist travels at a speed of 10 km/h, the time it takes for the first cyclist to catch up is also:

Time = D / 10

Setting these two equations equal to each other, we can solve for D:

D / 3 = D / 10

Multiplying both sides by 30 to eliminate the fractions:

10D = 3D

7D = 0

Therefore, the distance from the city where the first cyclist catches up to the second cyclist is 0 km.

Answer

The first cyclist will catch up to the second cyclist at a distance of 0 km from the city.

Please let me know if you need any further clarification.