A can complete 1/3 of a work in 5 days and B, 2/5 of the work in 10 days. In how many days both A and B together can complete the work ?
A does 1/3 of work in 5 days
hence in 1 day it will do 1/15 amount of work
similarly B will do 2/50 amount of work in one day
Together they will do $$\frac{1}{15} + \frac{2}{50}$$ = $$\frac{16}{150}$$ amount of work in one day
hence unit work will be done in $$\frac{150}{16}$$ days or 9$$\frac{3}{8}$$ days
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