Question

A can do a work in 18 days and B in 15 days. if they both work together ifor 10 days and b left. in how many days does A take to complete the work

Answer 1

Answer:

• A = 18 days
• B = 15 days
• B work for 10 days and left, after that Let A take x days to complete rest work

• According to the Question :

$:\Longrightarrow\sf \dfrac{Days}{A}+\dfrac{Days}{B}=Total\:Work\\\\\\:\Longrightarrow\sf \dfrac{x}{18} + \dfrac{10}{15} = 1\\\\\\:\Longrightarrow\sf \dfrac{x}{18} + \dfrac{2}{3} = 1\\\\\\:\Longrightarrow\sf \dfrac{x}{18} = 1 - \dfrac{2}{3}\\\\\\:\Longrightarrow\sf \dfrac{x}{18} = \dfrac{1}{3}\\\\\\:\Longrightarrow\sf \dfrac{x}{6} = 1\\\\\\:\Longrightarrow\sf x = 6 \:days$

⠀

$\therefore\:\underline{\textsf{A will take \textbf{6 days} to complete rest work}}.$