Question

last for 300 persons?
14. A, B and C can do a piece of work in 10 days; A alone can do it in 40 days and B alone can
do it in 30 days. In how many days will C alone do the same work?
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Answer 1

Step-by-step explanation:

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given,

1) A, B and C can do a piece of work in 10 days

2) A alone can do it in 40 days

3) B alone can do it in 30 days.

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let ,

one day work of A,B,C together = 1/10

one of work of A alone = 1/40

one day work of B alone = 1/30

one day work of C alone = 1/C

$\frac{1}{10} = \frac{1}{40} + \frac{1}{30} + \frac{1}{c}$

1/c = 1/10-1/40-1/30

1/c = 12-3-4/120

1/c = 12-7/120

1/c = 5/120 = 1/24

.: one day work done by C alone = 1/24

work done by C alone = 24days