A can build a wall in 30 days, which B alone can build a wall in 40 days. If they will work together then how much time they will take to build a wall?
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Let a be the working rate of A
Let b be the working rate of B
Since A is twice as good as B, this means that 2a = b — which means that you would need 2 B's to work at the same rate as A, or, two employees working at B's level is equal to 1 A.
A and B the working together to finish their work in 30 days.
Therefore,
30 = a + b
30 = a + 2a
30 = 3a
a = 10
This means, it took A 10 days to finish the project with B, and it took B
2a = b
=> 2(10) = b
=> b = 20
It took B 20 days to finish the work with A.
Now if A is doing the same amount of work alone, he needs to do B's 20 days of work.
Since 2a = b
=> 2a = 20
=> a = 10
Step-by-step explanation:
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