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A can complete a work in ‘m’ days and B can complete it in ‘n’ days. How many days will it take to complete the work if both A and B work together ?
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- ( m + n ) days
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1 × 1 
days m n -
m + n days mn -
mn days m + n
Correct Option: D
| A’s 1 day’s work = | ||
| m |
| B’s 1 day’s work = | ||
| n |
| ∴ (A + B)’s 1 day’s work = | + | m | n |
| (A + B)’s 1 day’s work = | = | mn | mn |
| ∴ Required time = | ||
| m + n |
