A can complete a piece of work in 18 days, B in 20 days and C in 30 days. B and C together start the work and are forced to leave after 2 days. The time taken by A alone to complete the remaining work is-
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
2 (15 days)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Here,
B's 1 day's work = 1/20 part
C's 1 day's work = 1/30 part
∴ (B + C)'s 1 day's work = (1/20 + 1/30) part
∴ (B+C)'s 2 day's work = {(1/20 + 1/30) × 2} part = [{(3+2)/60} × 2] part
= (5/60 × 2) part
= 1/6 part
Remaining work = (1 -1/6) part
= 5/6 part
A's one day's work = 1/18 part
∴ The time taken by A alone to complete the remaining work is = (5/6)/(1/18) days = 15 days
