A can complete a project in 10 days and B can complete the same project in 15 days. If A and B start working on the project together and B quits 5 days before the project is completed, in how many days will the project be completed?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8 days.
Given:
A can complete a project in 10 days and B can complete the same project in 15 days
Calculations:
Let the days A works for be x days then, B works for (x - 5) days
Total work (LCM of 10 and 15) = 30 units
Efficiency of A = 30/10 = 3 units
Efficiency of B = 30/15 = 2 units
According to the question,
⇒ 3x + 2(x - 5) = 30
⇒ 3x + 2x - 10 = 30
⇒ 5x = 40
⇒ x = 8 days