Question

В тур-походе дежурные Оля и Юля должны начистить кастрюлю картофеля.Оля одна может справиться с этой работой за 15 мин , Юля - за 18 мин.Успеют ли они начистить кастрюлю картофеля за 10 мин , если будут работать вместе?

Answer 1

1- вся работа
1/15-производительность Оли
1/18- производительность Юли
1/15+1/18=18/270+15/270=33/270=11/90= 1: 8,18

Ответ:да, успеют

Answer 2

Calculation of Work Efficiency

To determine if Olga and Julia will be able to clean the pot of potatoes within 10 minutes, we need to calculate their work efficiency.

Olga can clean the pot in 15 minutes, which means she can clean 1/15 of the pot in 1 minute. Similarly, Julia can clean the pot in 18 minutes, so she can clean 1/18 of the pot in 1 minute.

Combined Work Efficiency

When working together, Olga and Julia's work efficiency is the sum of their individual work efficiencies. Therefore, their combined work efficiency is:

1/15 + 1/18 = 11/180

This means that together, Olga and Julia can clean 11/180 of the pot in 1 minute.

Time Required to Clean the Pot

To determine if they can clean the pot within 10 minutes, we need to calculate how much of the pot they can clean in 10 minutes.

Multiplying their combined work efficiency by the number of minutes they work together, we get:

(11/180) * 10 = 11/18

Therefore, Olga and Julia can clean approximately 11/18 of the pot in 10 minutes.

Conclusion

Based on the calculations, Olga and Julia will not be able to clean the entire pot of potatoes within 10 minutes. They will only be able to clean approximately 11/18 of the pot in that time.