At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer:
Y alone can do the piece of work in 30 days.
Step-by-step explanation:
Proportions
Let's make:
N = days for Y to finish the work alone
Since X alone can do it in 15 days, each day he can do a proportion of 1/15 of the piece of work.
Since Y alone can (possibly) do it in N days, each day he can do 1/N parts of the work.
Together, they do
[tex]\displaystyle \frac{1}{15}+\frac{1}{N}[/tex]
parts of the work per day. We know they can finish it in 10 days, thus:
[tex]\displaystyle \frac{1}{15}+\frac{1}{N}=\frac{1}{10}[/tex]
Rearranging:
[tex]\displaystyle \frac{1}{N}=\frac{1}{10}-\frac{1}{15}[/tex]
The LCM of 10 and 15 is 30, thus operating:
[tex]\displaystyle \frac{1}{N}=\frac{3-2}{30}=\frac{1}{30}[/tex]
Solving for N:
N = 30
Y alone can do the piece of work in 30 days.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.