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Carmen's rate of solving a certain puzzle is three times that of Joseph.
One day, they worked together for 40 mins, after which Joseph was called for an errand.
Carmelo finished the rest of the puzzle in 20 minutes.
How long would it take each to solve the puzzle alone?
Let t = time required for Carmen to solve the puzzle alone
She works 3 times as fast as Joseph, therefore
3t = time required by Joseph to solve it alone
Let the completed puzzle = 1
Joe works for 40 min and Carm works for 40+20 = 60 min
Multiply equation by 3t, results
3(60) + 40 = 3t
180 + 40 = 3t
3t = 220
t = 73
min for Carmen
5*73.33 = 220 min for Joe