Question

Машина проехала 1000 км. До первой остановки она проехала 3/8 этого расстояния , до 2 остановки 2/5 оставшегося. Весь оставшийся путь машина проехала за 3 часа. С какой скоростью ехала машина после 2 остановки

Answer 1

1000:8*3=375 км -проехала до первой остановки
1000-375=625 км - осталось
625:5*2=250 км - проехала до второй остановки
375+250=625 км - проехала вместе
1000-625=375 км - проехала за 3 часа
375:3=125 км/час - скорость машины после 2 остановки

Answer 2

Problem Analysis

We are given that a car traveled a total distance of 1000 km. The car made two stops during the journey. The first stop was after covering 3/8 of the total distance, and the second stop was after covering 2/5 of the remaining distance. The car then traveled the remaining distance in 3 hours. We need to determine the speed of the car after the second stop.

Solution

To find the speed of the car after the second stop, we need to calculate the remaining distance the car traveled after the second stop and divide it by the time taken.

Let's break down the problem step by step:

1. Calculate the distance covered until the first stop: - The car covered 3/8 of the total distance. - So, the distance covered until the first stop is (3/8) * 1000 km.

2. Calculate the remaining distance after the first stop: - The remaining distance is the total distance minus the distance covered until the first stop. - So, the remaining distance after the first stop is 1000 km - [(3/8) * 1000 km].

3. Calculate the distance covered until the second stop: - The car covered 2/5 of the remaining distance. - So, the distance covered until the second stop is (2/5) * [1000 km - (3/8) * 1000 km].

4. Calculate the remaining distance after the second stop: - The remaining distance after the second stop is the distance remaining after the first stop minus the distance covered until the second stop. - So, the remaining distance after the second stop is [1000 km - (3/8) * 1000 km] - [(2/5) * [1000 km - (3/8) * 1000 km]].

5. Calculate the speed of the car after the second stop: - The speed of the car is given by distance divided by time. - The distance after the second stop is [1000 km - (3/8) * 1000 km] - [(2/5) * [1000 km - (3/8) * 1000 km]]. - The time taken is 3 hours. - So, the speed of the car after the second stop is ([1000 km - (3/8) * 1000 km] - [(2/5) * [1000 km - (3/8) * 1000 km]]) / 3 km/h.

Let's calculate the speed of the car after the second stop:

Calculation

1. Calculate the distance covered until the first stop: - Distance until the first stop = (3/8) * 1000 km = 375 km.

2. Calculate the remaining distance after the first stop: - Remaining distance after the first stop = 1000 km - 375 km = 625 km.

3. Calculate the distance covered until the second stop: - Distance until the second stop = (2/5) * (625 km) = 250 km.

4. Calculate the remaining distance after the second stop: - Remaining distance after the second stop = 625 km - 250 km = 375 km.

5. Calculate the speed of the car after the second stop: - Speed after the second stop = (375 km) / (3 hours) = 125 km/h.

Therefore, the car was traveling at a speed of 125 km/h after the second stop.

Answer

The car was traveling at a speed of 125 km/h after the second stop.