working A and B together can complete the task in 24days.if the working efficiency of A and B in the ratio 3:2.then in how many days B complete half of the task
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Answer:
20 days
Step-by-step explanation:
A: B = 3:2
=> 3B = 2A
=> A = 3B/2
If A and B together can do piece of work in 24 days
In one day, they can do 1/A + 1/B = 1/24
Replacing value of A = 3B/2 in the equation.
1/A + 1/B = 1/24
=> 2/3B + 1/B = 1/24
=> 5/3B = 1/24
=> B = 5 * 24/3 = 40 days.
B will take 40 days to complete the work alone.
Thus B will be complete half the work in 20days.
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