Question

Машина проехала по шоссе 270км потом по грунтовой дороге 1/3 часть от того что проехала осталось проехать половину етого пути что машина проехала по шоссе и грунтовой дороге вместе. какой промежуток должна проехать машина???

Answer 1

1) 270 : 3 = 90 (км) - проехала машина по грунтовой дороге (1/3 шоссейной дороги);

2) 270 + 90 = 360 (км) - проехала машина;

3) 360 : 2 = 180 (км) - осталось проехать (1/2 пройденного пути);

4) 360 + 180 = 540 (км) - такое расстояние должна проехать машина.

Ответ: 540 км весь путь.

 

 

Answer 2

Calculating the Remaining Distance for the Car

To calculate the remaining distance the car needs to travel, we can break down the information provided step by step.

1. Distance Traveled on the Highway: - The car traveled 270 km on the highway.

2. Distance Traveled on the Dirt Road: - The car traveled a certain distance on the dirt road, which is 1/3 of the total distance traveled on both the highway and the dirt road.

3. Remaining Distance to Travel: - After traveling the above distances, the car still needs to cover half of the total distance it has traveled on both the highway and the dirt road.

Let's calculate the remaining distance step by step.

Step 1: Calculate the Total Distance Traveled

The total distance traveled is the sum of the distance on the highway and the distance on the dirt road.

270 km (highway) + x km (dirt road) = Total distance traveled

Step 2: Calculate the Distance Traveled on the Dirt Road

The distance traveled on the dirt road is 1/3 of the total distance traveled on both the highway and the dirt road.

x = (1/3) * (270 km + x)

Step 3: Calculate the Remaining Distance

The remaining distance is half of the total distance traveled on both the highway and the dirt road.

Remaining distance = (270 km + x) / 2

Let's solve for x to find the distance traveled on the dirt road and then calculate the remaining distance.

Solution:

Using the given information, we can solve for x:

x = (1/3) * (270 km + x)

Multiplying both sides by 3 to clear the fraction:

3x = 270 km + x

Subtracting x from both sides:

2x = 270 km

Dividing by 2:

x = 135 km

Now that we have found the distance traveled on the dirt road, we can calculate the remaining distance:

Remaining distance = (270 km + 135 km) / 2 Remaining distance = 405 km / 2 Remaining distance = 202.5 km

The car should travel 202.5 km to reach its destination.