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1. While working 7 hour a day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, 8 hour a day?

Solution:
A can complete the work in 7 × 6 = 42 hours
1 hour's work of A = 142
B can complete the work in 7 × 8 = 56 hours
1 hour's work of B = 156
(A + B)'s 1 hour's work
=142+156=4+3168=7168
∴ Time taken by (A + B) working 8 hours daily
1687×8=3days

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