Question : A can finish a job in 8 hours and B can finish the same job in 12 hours independently. If they work simultaneously, how many hours can they do the same job?
Option 1: 4.8
Option 2: 3.7
Option 3: 4.5
Option 4: 3.2
Correct Answer: 4.8
Solution :
Given:
A can finish a job in 8 hours and B can finish the same job in 12 hours independently.
A's 1 hour's work = $\frac{1}{8}$
B's 1 hour's work = $\frac{1}{12}$
(A + B)'s 1 hour's work = $\frac{1}{8}+\frac{1}{12}=\frac{5}{24}$
So, they can finish the work together in $\frac{24}{5}=4.8$ hours
Hence, the correct answer is 4.8.
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