Question

Помогите 1) Через первую трубу бассейн наполняется за 12 часов,через вторую-за 18 часов. Через какую трубу нальётся больше воды: через первую за 5 часов или через вторую за 7 часов?

Answer 1

1) Возьмем весь объем бассейна за 1. Тогда 1 труба за 1 час наливает воды на 1/12 бассейна. 2 труба за 1 час наливает воды на 1/18 бассейна.
2) Производительность 1 трубы = 1/12; 2 трубы = 1/18
Первая труба льет воду 5 часов - наполняет 5*(1/12)=5/12 бассейна
2 труба льет воду 7 часов - наполняет 7*(1/18)=7/18 бссейна
3) 5/12 сравним с 7/18
15/36 и 14/36
15/36>14/36
ОТВЕТ. Через 1 трубу пройдет больше воды

Answer 2

Быстрее будет через 1 за 5 часов

Answer 3

Problem Analysis

We are given two pipes, one of which can fill a pool in 12 hours and the other in 18 hours. We need to determine which pipe will fill the pool with more water: the first pipe in 5 hours or the second pipe in 7 hours.

Solution

To solve this problem, we need to calculate the amount of water each pipe can fill in the given time frames.

Let's assume that the capacity of the pool is 1 unit (this is an arbitrary assumption, as the problem does not provide the actual capacity of the pool). We can use this assumption because the relative rates at which the pipes fill the pool will remain the same regardless of the actual capacity.

To find the amount of water filled by each pipe in the given time frames, we can use the formula:

Amount of water filled = (Rate of filling) x (Time)

Let's calculate the amount of water filled by each pipe in the given time frames:

1. First pipe in 5 hours: - Rate of filling for the first pipe: 1 pool / 12 hours - Time: 5 hours - Amount of water filled by the first pipe in 5 hours: (1/12) x 5 = 5/12 units

2. Second pipe in 7 hours: - Rate of filling for the second pipe: 1 pool / 18 hours - Time: 7 hours - Amount of water filled by the second pipe in 7 hours: (1/18) x 7 = 7/18 units

Answer

Based on the calculations, the first pipe will fill the pool with more water in 5 hours compared to the second pipe in 7 hours. The first pipe will fill 5/12 units of water, while the second pipe will fill 7/18 units of water.

Please note that the actual capacity of the pool was assumed to be 1 unit for the purpose of this calculation. The relative rates of filling for the two pipes remain the same regardless of the actual capacity of the pool.

Let me know if there's anything else I can help you with!