Question

Мама может сделать уборку за 2 часа, а ее дочь за 3 часа. За сколько времени мама и дочь могли бы вместе убрать квартиру.

Answer 1

1/2+1/3=3/6+2/6=5/6 - вместе за 1 час
60:5*6=72 мин - уберут, работая вместе

Answer 2

Solution:

To solve this problem, we can use the concept of the work rate. The work rate is the amount of work done per unit of time. In this case, we can calculate the work rate of the mother and the daughter and then use it to find the time it takes for them to clean the apartment together.

Let's denote the work rate of the mother as M and the work rate of the daughter as D.

Given: - The mother can clean the apartment in 2 hours, so her work rate is M = 1/2 (1 apartment cleaned in 2 hours). - The daughter can clean the apartment in 3 hours, so her work rate is D = 1/3 (1 apartment cleaned in 3 hours).

To find the time it takes for them to clean the apartment together, we can use the formula: Time = 1 / (M + D)

Substitute the values of M and D: Time = 1 / (1/2 + 1/3)

Simplify the expression: Time = 1 / (3/6 + 2/6) Time = 1 / (5/6) Time = 6/5

Answer:

So, the mother and the daughter together can clean the apartment in 6/5 hours, which is 1 hour and 12 minutes.