a can do 1 3 of the work in 5 days and..., Time & Work, General Mathematics

Question:A can do `1/3` of the work in 5 days and B can do `2/5` of the work in 10 days. In how many days both A and B together can do the work ?

A `7 3/4` 
B `8 4/5` 
C `9 3/8` 
D 10

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+ AnswerC

+ Explanationsolution:
Whole work will be done by A in `(5 xx 3)`
                                   = `15` days.
Whole work will be done by B in `(10 xx 5/2)`
                                   = `25` days.
A's 1 day's work = `1/15` &
 B's 1 day's work = `1/25`.
`(A + B)`'s 1 day's work = `(1/15 + 1/25)`
                                       = `8/75`.
So, both together can finish it in `75/8`
                                    =`9 3/8` days.

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