A team of 2 men and 5 women completed one-fourth of a project in 3 days. After 3 days one woman left the team and one man joined the team. The newly formed team took 2 days to complete another one fourth of the project. How many days will 4 men takes to complete the project alone?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (6)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let efficiency of one man = M
Let efficiency of one woman = W
ATQ,
(2M + 5W) × 3 = 1/4 of work
⇒ 6M + 15W = 1/4 ... (1)
and, (3M + 4W) × 2 = 1/4
⇒ 6M + 8W = 1/4 ...(2)
Subtracting these equations
7W = 0
⇒ W = 0
Substituting in equation (2)
6M = 1/4
M = 1/24
For 4 men to complete full work, Time taken = 1/(4 × M)
= 1/{4 × (1/24)
= 24/4
= 6
∴ 4 men will take 6 days to complete the project alone.
