CAT 2025 Slot 3 QA Question 1: Teams A, B, and C consist of five, eight, and ten members, respectively, such that every member within a team is equally productive. Working separately, teams A, B, and C can complete a certain job in

Question

Teams A, B, and C consist of five, eight, and ten members, respectively, such that every member within a team is equally productive. Working separately, teams A, B, and C can complete a certain job in

Accepted Answer

Let the total work be $W$. Then the work rate of one member from each team is found from the time taken by the whole team.
One member of A works at $\dfrac{W}{200}$, one member of B works at $\dfrac{W}{400}$, and one member of C works at $\dfrac{W}{40}$.
$	ext{Initial hourly rate} = \dfrac{2W}{200}