Question

Из города выехал мотоциклист со скоростью 35 км/ч.Через 3 часа в том же направлении из города выехал автомобиль со скорости 70 км/ч.Через какое время после выезда автомобиль догонит мотоциклиста?На каком расстоянии от города это произойдет?

Answer 1

1) 35*3=105 (км) проехал мотоциклист
Ну а дальше можно методом подбора: 
1ч: автомобилист-70 км, мотоциклист-105+35=140км
2ч: авто-140, мото-175
3ч. авто-210, мото-210 - следовательно, через 3 часа автомобилист догонит мотоциклиста. Это произойдет на расстоянии 210 км от города.
ответ: 3ч, 210км

Answer 2

Calculating When the Car Will Catch Up to the Motorcycle

To calculate when the car will catch up to the motorcycle, we can use the formula:

time = distance / relative speed

The relative speed is the difference in speed between the car and the motorcycle.

The motorcycle's speed is 35 km/h, and the car's speed is 70 km/h. Therefore, the relative speed is 70 km/h - 35 km/h = 35 km/h.

Let's calculate the time it takes for the car to catch up to the motorcycle.

Time Calculation

The time it takes for the car to catch up to the motorcycle can be calculated using the formula: time = distance / relative speed

Given that the motorcycle has been traveling for 3 hours, we can calculate the distance it has covered using the formula: distance = speed × time

The distance covered by the motorcycle is: distance = 35 km/h × 3 h = 105 km

Now, we can calculate the time it takes for the car to catch up to the motorcycle: time = distance / relative speed time = 105 km / 35 km/h = 3 hours

So, the car will catch up to the motorcycle after 3 hours.

Calculating the Distance from the City

To calculate the distance from the city where the car catches up to the motorcycle, we can use the formula: distance = speed × time

The car catches up to the motorcycle after 3 hours, and the car's speed is 70 km/h. Therefore, the distance from the city where the car catches up to the motorcycle is: distance = 70 km/h × 3 h = 210 km

So, the car will catch up to the motorcycle 210 kilometers from the city.

Therefore, the car will catch up to the motorcycle after 3 hours, and it will happen 210 kilometers from the city.