A and B can do a piece of work in 28 days and 35 days respectively. They began to work together but A leaves after some time and B completed the remaining work in 17 days. After how many days did A leave?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (8 days)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Work done by B in 17 days = {(1/35) × 17} part
= 17/35 part
Remaining work = (1 - 17/35) part
= 18/35 part
(A + B)'s 1 day's work = (1/28 + 1/35) part
= 9/140 part
Now,
9/140 part work has done by (A + B) in 1 day
∴ 1 part work has done by (A + B) in 140/9 days
∴ 18/35 part work has done by (A + B) in = {(140/9) × (18/35)} days = 8 days
∴ A leave After 8 days
