Question

40 балов!!! Для откачки воды на яхте есть две одинаковые помпы, с помощью которых капитаны Фукс и Лом вместе откачали всю воду из трюма через 2 ч 24 мин. Если бы была бы только одна такая помпа и половину всей воды откачал Фукс, а остальные Лом, то работа была бы закончена за 5 ч. За сколько минут Лом откачал бы всю воду из трюма сам, если известно, что он работает быстрее Фука?

Answer 1

Работу обозначим за 1
В конце два ответа, но подходит только один, так как лом быстрее

300 и 144 это минуты

Answer 2

Problem Analysis

We are given that there are two identical pumps on a yacht, and the captains Fuchs and Lom together pumped all the water out of the hold in 2 hours and 24 minutes. We are also given that if there was only one pump, Fuchs would have pumped half of the water and Lom would have pumped the other half, and they would have finished the job in 5 hours. We need to determine how long it would take Lom to pump all the water out of the hold by himself, knowing that he works faster than Fuchs.

Solution

Let's assume that the total amount of water in the hold is represented by the variable W. We are given that Fuchs and Lom together pumped all the water out of the hold in 2 hours and 24 minutes, which is equivalent to 144 minutes.

We can set up the following equation based on the given information: - Fuchs + Lom = 144 minutes (equation 1)

We are also given that if there was only one pump, Fuchs would have pumped half of the water and Lom would have pumped the other half, and they would have finished the job in 5 hours, which is equivalent to 300 minutes.

We can set up the following equation based on this information: - Fuchs + Lom = 300 minutes (equation 2)

Since we know that Lom works faster than Fuchs, we can assume that Lom takes less time to pump the same amount of water. Let's represent Lom's time as L and Fuchs's time as F.

From equations 1 and 2, we can write: - F + L = 144 minutes (equation 1) - F + L = 300 minutes (equation 2)

Subtracting equation 1 from equation 2, we get: - (F + L) - (F + L) = 300 - 144 - 0 = 156

This equation is not possible, which means there is an error in the given information or the problem itself.

Therefore, it is not possible to determine how long it would take Lom to pump all the water out of the hold by himself based on the given information.

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