A, B and C can do a piece of work in 10 days, 12 days and 15 days respectively. How long will they take to finish it if they work together?

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Solution

A's one day's work $= \frac{1}{10}$

B's one day's work $= \frac{1}{12}$

and C's one day's work $= \frac{1}{15}$

$∴$ A,B and C's one day's work $= \frac{1}{10} + \frac{1}{12} + \frac{1}{15}$

$= \frac{6 + 56 + 4}{60} = \frac{15}{60} = \frac{1}{4}$

$∴$ A, B and C can do the same work in 4 days

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A, B and C can do a piece of work in 10 days, 12 days and 15 days respectively. How long will they take to finish it if they work together?

A's one day's work =110 B's one day's work =112 and C's one day's work =115 ∴ A,B and C's one day's work =110+112+115 =6+56+460=1560=14 ∴ A, B and C can do the same work in 4 days