Question

За 3 ч работы один экскаватор вынул 555 м земли. Сколько кубических метров земли вынет второй экскаватор за 4 ч, если в час он вынимает на 15 м больше,чем первый?

Answer 1

800 м².
Если за 3ч 1 экскаватор вынул 555 м² земли, а 2 за час вынимает на 15 м² больше, то нам надо:
1) 15*3=45 (м²) - на столько за 3 часа 2 экскаватор вынимает земли.
2) 555+45=600 (м²) - за 3 часа вынимает 2 экскаватор земли.
3) 600:3=200 (м²) - 2 экскаватор вынимает земли за час.
4) 200*4=800 (м²)
Ответ : за 4 часа второй экскаватор вынимает 800 м² земли

Answer 2

Problem Analysis

We are given that one excavator can remove 555 cubic meters of soil in 3 hours. We need to find out how many cubic meters of soil the second excavator can remove in 4 hours, given that it removes 15 cubic meters more per hour than the first excavator.

Solution

To solve this problem, we can follow these steps: 1. Calculate the rate at which the first excavator removes soil per hour. 2. Calculate the rate at which the second excavator removes soil per hour. 3. Use the rates to find out how much soil the second excavator can remove in 4 hours.

Let's calculate the solution step by step.

Step 1: Calculate the rate of the first excavator

We are given that the first excavator removes 555 cubic meters of soil in 3 hours. To find the rate at which it removes soil per hour, we can divide the total amount of soil removed by the number of hours: Rate of the first excavator = 555 cubic meters / 3 hours

Step 2: Calculate the rate of the second excavator

We are given that the second excavator removes 15 cubic meters more per hour than the first excavator. So, the rate of the second excavator can be calculated by adding 15 cubic meters to the rate of the first excavator: Rate of the second excavator = Rate of the first excavator + 15 cubic meters

Step 3: Calculate the amount of soil removed by the second excavator in 4 hours

We need to find out how much soil the second excavator can remove in 4 hours. To do this, we can multiply the rate of the second excavator by the number of hours: Amount of soil removed by the second excavator = Rate of the second excavator * 4 hours

Now, let's substitute the values and calculate the solution.

Calculation

1. Rate of the first excavator = 555 cubic meters / 3 hours = 185 cubic meters/hour 2. Rate of the second excavator = Rate of the first excavator + 15 cubic meters = 185 cubic meters/hour + 15 cubic meters = 200 cubic meters/hour 3. Amount of soil removed by the second excavator in 4 hours = Rate of the second excavator * 4 hours = 200 cubic meters/hour * 4 hours = 800 cubic meters

Answer

The second excavator can remove 800 cubic meters of soil in 4 hours.

Please let me know if I can help you with anything else.