Question

Слоненок выпивает бассейн молока за 2 часа, бегемотик за 1 час, а гепард за 2.5 часа. За сколько времени они выпьют молоко из этого бассейна вместе?Просьба не писать такой ответ 2+1+2.5=5.5 часовТакже администраторы удалили следующее решение (120+60+150) / 3 = 330, 330/3= 110, ответ 1час 50 мин. Такое решение сочли неправильным, может кто-то объяснит, почему?

Answer 1

Не претендую на правильность, но может так?

Скорость питья бегемота будет х, слона х/2, гепарда х/4 (2,5=2 5/10= 2 1/2=5/2, 1:5/2=2/5=1/4), тогда получим, что весь бассейн они выпьют за

х+х/2+х/4, т.е. получится уравнение:

х+х/2+х/4=1

7/4х=1

х=4/7 часа выпьют они вместе весь бассейн

 

предложите  еще решение, очень интересно!

Answer 2

Calculation of Time Taken to Drink the Milk

To calculate the time it will take for the elephant, hippopotamus, and cheetah to drink the milk from the pool together, we need to find the least common multiple (LCM) of the times it takes each animal to drink the milk.

The elephant drinks the milk in 2 hours, the hippopotamus in 1 hour, and the cheetah in 2.5 hours.

To find the LCM, we can use the following steps:

1. Express the times in terms of their lowest common denominator. - The elephant drinks the milk in 2 hours. - The hippopotamus drinks the milk in 1 hour, which is equivalent to 2/2 hours. - The cheetah drinks the milk in 2.5 hours, which is equivalent to 5/2 hours.

2. Find the LCM of the fractions. - The LCM of 2, 2/2, and 5/2 is 5.

3. Convert the LCM back to hours. - The LCM of 5 is equivalent to 5 hours.

Therefore, it will take the elephant, hippopotamus, and cheetah a total of 5 hours to drink all the milk from the pool together.

Explanation of the Deleted Solution

The solution provided by the administrators, which calculated the time as 1 hour and 50 minutes (110 minutes), was considered incorrect. Let's analyze why this solution is incorrect.

The solution attempted to calculate the average time taken by dividing the sum of the individual times by the number of animals. However, this approach assumes that the animals drink the milk at a constant rate, which may not be the case.

In reality, the animals may have different drinking speeds, and their rates of milk consumption may not be constant throughout the entire duration. Therefore, simply averaging the times taken by each animal may not accurately represent the actual time it takes for all the milk to be consumed.

To calculate the correct time, we need to find the least common multiple (LCM) of the individual times, as explained in the previous section. The LCM ensures that all the animals finish drinking the milk at the same time, accounting for their different drinking speeds.

Therefore, the correct answer is that it will take the elephant, hippopotamus, and cheetah a total of 5 hours to drink all the milk from the pool together.