SOLUTION: andrei can build a wall in 6 days. reagan had worked on the wall for three days alone before andrei joined him. together, they have completed the wall in three more days. how lo

Question 607973: andrei can build a wall in 6 days. reagan had worked on the wall for three days alone before andrei joined him. together, they have completed the wall in three more days. how long will it take reagan to build the wall alone?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
andrei can build a wall in 6 days. reagan had worked on the wall for three days alone before andrei joined him. together, they have completed the wall in three more days. how long will it take reagan to build the wall alone?
.
Let x = time (days) reagan can build wall alone
then
3(1/x) + 3(1/x + 1/6) = 1
multiplying both sides by 6x:
3(6) + 3(6 + x) = 6x
18 + 18 + 3x = 6x
36 + 3x = 6x
36 = 3x
12 days = x

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