A and b together can do a piece of work in 30 days. A worked for 16 days. B finished the remaining work alone in 44 days. In how many days shall b finish the whole work alone?
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Answer:
60 days
Step-by-step explanation:
A and B together can do a piece of work in 30 days.
(A + B) 30 = workdone equation1
A worked for 16 days and B finished the remaining work alone in 44 days.
16A + 44B = workdone
Solving these two equations
30A + 30B = 16A + 44B
(30-16)A = (44-30)B
14A = 14B
A= (14/14)B
A=B
Which means that the A and B do same amount of work so put value of A in equation1
(B + B) 30 = workdone
(2B) 30 = workdone
60B = workdone
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