A can do 1/2 of a piece of work in 8 days while B can do 1/3 of the same work in 8 days. In how many days can both do it together?
A. 9.6 days
B. 10.5 days
C. 11.2 days
D. 16 days
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A's 1 day work=1/16
B's 1 day work=1/24
A+B's 1 day work=1/24+1/16=5/48
So the ans is 48/5=9.6
Y 100/10.41
A -> 1/2 work -> 8 days
A -> 1 work -> 8*2=16days (Direct Proportion)
B ->1/3 work -> 8days
B -> 1 work -> 8*3=24 days
A+B -> 1 work -> ab/a+b =16*24/(16+24)
=16*24/40
=2*24/5
= 48/5
=9.6 days
thank u very much kumar chandan
A can do 1/2 or 50% of the work in 8 days.
So, Work rate of A = 50/8 = 6.25% per day.
B can do 1/3 or 33.33% of the work in 8 days.
Work rate of B = 33.33/8 = 4.16% per day.
Now, Work rate of A and B together,
= 6.25 + 4.16 = 10.41% per day.
Thus, they can complete the work in
= 100/10.41 = 9. 6 days.