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Option 3 : 6 hrs
Let A and B together complete the work in "t" hours
Now, according to question
Work done by A
t + + 4.5 = (t + 4.5)/A
t/A = 4.5/B
A/B = t/4.5 ----(1)
Similarly work done by B,
t + + 8 = (t + 8)/B
t/B = 8/A
A/B = 8/t ----(2)
Comparing (1) and (2), we get
t/4.5 = 8/t
t2 = 36
∴ t = 6 hours
∴ A and B will together complete the task in 6 hours
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