Suppose three resource types (RES 1, RES 2, and RES 3) are to be assigned to a certain task. RES 1 working alone can complete the task in 35 days, RES 2 working alone can complete the task in 40 days, and RES 3 working alone can complete the task in 60 days. Suppose 1 unit of RES 1 and 1 unit of RES 2 start working on the task together at time 0 . Two units of RES 3 joined the task after \(45 \%\) of the task has been completed. RES 2 quits the task when there is \(15 \%\) of the task remaining. Determine the completion time of the task and the total number of days that each resource type worked on the task. Assume that work rates are constant and units of the same resource type have equal work rates.