Question

Через первую трубу можно наполнить бак за 10мин, через вторую - за 15мин. За сколько минут можно наполнить бак через обе трубы? (решение в дробях)

Answer 1

 Приведём обе трубы к подаче воды  за  минуту
1: 10  бака/мин     за  минуту  первая труба
1: 15  бака/мин      за  минуту  вторая труба
Сложим их подачу воды за минуту 1/10+1/15=3/30+2/30=5/30= 1/6 бака/мин
1 бак : 1/6 бака/мин = 6 минут

Answer 2

15-10=5 минут

5 к 10 = 1/2
5 к 15 = 1/3
10 к 15 = 2/3

Answer 3

Problem Analysis

We are given two pipes, one of which can fill a tank in 10 minutes and the other in 15 minutes. We need to determine how long it will take to fill the tank using both pipes simultaneously.

Solution

To solve this problem, we can use the concept of rates. Let's assume that the capacity of the tank is 1 unit.

The first pipe can fill the tank in 10 minutes, which means it has a filling rate of 1/10 units per minute.

The second pipe can fill the tank in 15 minutes, which means it has a filling rate of 1/15 units per minute.

When both pipes are used simultaneously, their filling rates are additive. Therefore, the combined filling rate of both pipes is (1/10 + 1/15) units per minute.

To find the time it takes to fill the tank using both pipes, we can use the formula:

Time = 1 / Combined Filling Rate

Let's calculate the time it takes to fill the tank using both pipes:

Time = 1 / (1/10 + 1/15)

Simplifying the expression:

Time = 1 / (3/30 + 2/30) = 1 / (5/30) = 30/5 = 6 minutes

Therefore, it will take 6 minutes to fill the tank using both pipes simultaneously.

Answer

It will take 6 minutes to fill the tank using both pipes simultaneously.