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प्रश्न
A and B together can complete a piece of work in 6 days. A can do it alone in 10 days. Find the number of days in which B alone can do the work.
उत्तर
Number of days A takes alone to complete the work = 10 Days.
∴ Amount of work done by A in 1 day = `(1)/(10)`
Let the number of Days B working alone = x
∴ Amount of work done by B in 1 day = `(1)/x`
No of Days they take working together = 6 days
∴ Amount of work done by both in 1 day = `(1)/(6)`
⇒ `(1)/(10) + (1)/x = (1)/(6)`
⇒ `(1)/x = (1)/(6) - (1)/(10)`
= `(5 - 3)/(30)`
= `(2)/(30)`
= `(1)/(15)`
⇒ x = 15 days.
Thus, the number of Days B working alone = 15 days.
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