Alan, Botham and Caddick worked on a project one after the other and never at the same time. Alan started the project and completed 20 percent of it; then Botham took over and completed another 30 percent of the project. After this Caddick started working on the project and completed it. If the time for which Alan worked on the project was 50 percent of the total time required to complete the project and Caddick worked on the project for 4 days, how much time would it have taken to complete the project if only Alan and Botham had worked together on the project from start to completion at their same respective daily rate of work?

(1) Botham worked on the project for 2 days

(2) The time for which Alan and Caddick worked on the project was 5 times the time for which Botham worked on the project.


OA D

Source: e-GMAT