Question

При строительстве здания 3 строителя за 8 часов выложили из кирпичей стену высотой в 4 метра.За какое время бригада из 4 человек выложит стену высотой в 10 метров,если их производительность на 20% выше???

Answer 1

Calculation of Wall Construction Time

To calculate the time it will take for a 4-person crew to build a wall that is 10 meters high, we can use the information provided about the 3-person crew and their productivity. Here's the step-by-step calculation:

1. The 3-person crew built a wall that is 4 meters high in 8 hours. 2. To find their productivity, we divide the height of the wall (4 meters) by the time it took them (8 hours): - Productivity of the 3-person crew = 4 meters / 8 hours = 0.5 meters per hour.

Now, we need to calculate how long it will take a 4-person crew with 20% higher productivity to build a wall that is 10 meters high.

3. Since the 4-person crew has 20% higher productivity, we can calculate their productivity by multiplying the productivity of the 3-person crew by 1.2: - Productivity of the 4-person crew = 0.5 meters per hour * 1.2 = 0.6 meters per hour.

4. Finally, to find the time it will take for the 4-person crew to build a 10-meter high wall, we divide the height of the wall (10 meters) by the productivity of the 4-person crew: - Time required for the 4-person crew = 10 meters / 0.6 meters per hour = 16.67 hours.

Therefore, a 4-person crew with 20% higher productivity will take approximately 16.67 hours to build a wall that is 10 meters high.