A can do 1/4 of a work in 10 days. B can do 1/3 of the work in 20 days. In how many days can both A and B together do the work ?
A does$$\frac{1}{4}$$ work in 10 days.
$$\therefore$$A will complete the work in $$10\times4=40$$ days.
Similarly, B will complete the work in $$20\times3=60$$ days.
(A+B)'s 1 day's work=$$\frac{1}{40}+\frac{1}{60}$$
$$=\frac{3+2}{120}$$
$$=\frac{1}{24}$$
$$\therefore$$ time taken by A and B together to complete the work=$$24$$ days.
Hence, Correct option is C.
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