**TIME AND WORK**

- If A can do a piece of work in n days, then A’s 1-day work is –
**1/n** - If A’s 1 day’s work is
**1/n**, then A can finish the work in.**n days** - If A is thrice as good a workman as B, then –

The ratio of work done by A and B = **3:1**

The ratio of time taken by A and B to finish a work = **1:3**

- If M
_{1}men can do a W_{1}piece of work, working T_{1}hours daily in D_{1}days and M_{2}men can complete W_{2}work, working T_{2}hours in D_{2}days then –

**M _{1 }D_{1 }T_{1 }W_{2} = M_{2 }D_{2 }T_{2 }W_{1}**

- If A completes a piece of work alone in x days and B completes the same work in y days. Then they together will finish the work in –

**(x × y/x+y) days**

- If ‘A’ and ‘B’ completes a piece of work together in x days and B alone completes the same work in y days. Then ‘A’ alone will finish the work in –

**(x – y/y – x) days**

- If three men A, B, and C alone finish a piece of work in x, y, and z days. Then they together finish the work in-

**( xyz/xy + yz + zx ) days**