
В турпоходе дежурные оля и юля должны начистить кастрюлю картофеля. оля одна может справится с этой
работой за 15 минут юля за 18 минут.успеют ли они начистить кастрюлю картофеля за 10 минут если будут работать вместе?

Ответы на вопрос




Calculation of Time Required to Peel Potatoes
To determine if Olya and Yulya will be able to peel the pot of potatoes in 10 minutes when working together, we need to calculate their combined peeling rate.
According to the information provided, Olya can peel the pot of potatoes in 15 minutes, and Yulya can do it in 18 minutes.
Let's calculate their individual peeling rates:
- Olya's peeling rate: 1 pot of potatoes / 15 minutes - Yulya's peeling rate: 1 pot of potatoes / 18 minutes
To calculate their combined peeling rate, we can add their individual rates:
- Combined peeling rate: 1 pot of potatoes / (1/15 + 1/18) minutes
To simplify the calculation, we can find the least common multiple (LCM) of 15 and 18, which is 90. Then, we can calculate the combined peeling rate:
- Combined peeling rate: 1 pot of potatoes / (6/90 + 5/90) minutes - Combined peeling rate: 1 pot of potatoes / (11/90) minutes - Combined peeling rate: 90/11 pots of potatoes per minute
Now, let's calculate the time required to peel the pot of potatoes when working together:
- Time required to peel the pot of potatoes: 1 pot of potatoes / (90/11 pots of potatoes per minute) minutes - Time required to peel the pot of potatoes: 11/90 minutes
Converting this to seconds, we get:
- Time required to peel the pot of potatoes: (11/90) * 60 seconds - Time required to peel the pot of potatoes: (11/3) seconds - Time required to peel the pot of potatoes: 3.67 seconds
Therefore, Olya and Yulya will not be able to peel the pot of potatoes in 10 minutes when working together, as it would take them approximately 3.67 seconds, which is significantly less than 10 minutes.
Please note that the above calculation assumes that the peeling rates remain constant throughout the task and that there are no other factors affecting the peeling process.


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