Given:
A can finish the task in 10 days, B can finish the task in 20 days.
Formula Used:
Work rate = 1 / time taken.
Solution:
A's work rate is 1/10, and B's work rate is 1/20.
Combined work rate = A's work rate + B's work rate:
Combined work rate = 1/10 + 1/20 = (2 + 1)/20 = 3/20
Time taken by A and B together to complete the task = 1 / (3/20) = 20/3 = 6(2\3)days
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