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### Discussion :: Time and Work

1.  A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
2.  A. $$\frac { 1 } { 24 }$$day B. $$\frac { 7 } { 24 }$$day C. 3$$\frac { 3 } {7}$$day D. 4 days

Explanation :

Formula: If A can do a piece of work in n days, then A's 1 day's work =$$\frac { 1 } { n }$$

A + B + C)'s 1 day's work =$$[ \frac { 1 } { 24 }$$+$$\frac { 1 } { 6 }$$+$$\frac { 1 } {12 }$$]=$$\frac { 7 } { 24 }$$

Formula: If A's 1 day's work =$$\frac { 1 } { n }$$then A can finish the work in n days.

So, all the three together will complete the job in$$(\frac { 24 } {7 } )$$days=3$$\frac { 3 } {7}$$days

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