Question

Решите задачи. А) из поселков Озерки и Дубки, удаленных друг от друга на некоторое расстояние, вышли одновременно и пошли в одном направлении две машины: грузовая и легковая. Скорость грузовой машины - 70км/ч, а скорость легковой машины - 90км/ч. Через 5 часов легковая машина догнала грузовую. Чему равно расстояние между поселками Озерки и Дубки?

Answer 1

1)70+90=160(км/ч)  скорость сближения                                                                                        2)160 *5=800(км/ч)       

Answer 2

1) 90-70=20(км/ч)-разница в скорости
2) 20×5=100(км)

Answer 3

Problem Analysis

We are given that two cars, a truck and a passenger car, leave two different towns, Ozerki and Dubki, simultaneously and travel in the same direction. The truck has a speed of 70 km/h, and the passenger car has a speed of 90 km/h. After 5 hours, the passenger car catches up to the truck. We need to find the distance between the towns of Ozerki and Dubki.

Solution

Let's assume that the distance between Ozerki and Dubki is d kilometers.

We know that the passenger car traveled for 5 hours and caught up to the truck. In this time, the truck also traveled for 5 hours. Since the passenger car caught up to the truck, the distance traveled by the passenger car must be equal to the distance traveled by the truck.

The distance traveled by the passenger car is given by the formula: distance = speed × time.

Therefore, the distance traveled by the passenger car is: 90 km/h × 5 h = 450 km.

Since the distance traveled by the passenger car is equal to the distance traveled by the truck, we can set up the equation: 450 km = 70 km/h × 5 h.

Simplifying the equation, we get: 450 km = 350 km.

Therefore, the distance between the towns of Ozerki and Dubki is 450 kilometers.

Answer

The distance between the towns of Ozerki and Dubki is 450 kilometers.