Question

Один кран заполняет бак за 10минут а другой за 15минут. Какая часть бака будет заполнена за1 минуту если открыть одновременно оба крана????

Answer 1

Одна шестая. Первый кран за 1 мин. наполняет одну десятую, а второй одну пятнадцатую. Приводим к общему знаменателю 30. Получается три тридцатых и две тридцатых. Итого пять тридцатых. Если сократить, то получится одна шестая.

Answer 2

1)1/3+1/15=3/30+2/30 =5/30=1/6 -часть

Answer 3

Problem Analysis

We have two taps that fill a tank. One tap fills the tank in 10 minutes, and the other tap fills the tank in 15 minutes. We need to determine what fraction of the tank will be filled in 1 minute if both taps are opened simultaneously.

Solution

To solve this problem, we can calculate the rate at which each tap fills the tank and then determine the combined rate when both taps are opened simultaneously.

Let's assume that the capacity of the tank is 1 unit (for simplicity).

The first tap fills the tank in 10 minutes, so its filling rate is 1/10 tank per minute.

The second tap fills the tank in 15 minutes, so its filling rate is 1/15 tank per minute.

When both taps are opened simultaneously, their filling rates are added together. Therefore, the combined filling rate is 1/10 + 1/15 tank per minute.

To find the fraction of the tank filled in 1 minute, we need to divide the combined filling rate by the capacity of the tank, which is 1 unit.

So, the fraction of the tank filled in 1 minute when both taps are opened simultaneously is:

((1/10) + (1/15)) / 1 = (3/30 + 2/30) / 1 = 5/30 = 1/6

Therefore, 1/6 of the tank will be filled in 1 minute if both taps are opened simultaneously.

Answer

If both taps are opened simultaneously, 1/6 of the tank will be filled in 1 minute.