# Time and Work Questions

**FACTS AND FORMULAE FOR TIME AND WORK QUESTIONS**

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

**2. **If A’s 1 day's work =$\frac{1}{n}$, then A can finish the work in n days.

**3. **A is thrice as good a workman as B, then:

Ratio of work done by A and B = 3 : 1.

Ratio of times taken by A and B to finish a work = 1 : 3.

NOTE :

$Efficiency\propto \frac{1}{Nooftimeunits}$

$\therefore Efficiency\times Time=Cons\mathrm{tan}tWork$

Hence, $Requiredtime=\frac{Work}{Efficiency}$

Whole work is always considered as 1, in terms of fraction and 100% , in terms of percentage.

In general, number of day's or hours = $\frac{100}{Efficiency}$

A) 8 days | B) 24 days |

C) 12 days | D) 16 days |

A) 727/6 | B) 725/6 |

C) 775/6 | D) 745/6 |

A) 4 hours | B) 6 hours |

C) 2 hours | D) 11 hours |

A) 1.5 days | B) 3 days |

C) 6 days | D) 9 days |

A) 12 days | B) 14 days |

C) 16 days | D) 24 days |

A) 5 days | B) 10 days |

C) 20 days | D) 40 days |

A) 2 hours | B) 6 hours |

C) 16 hours | D) 3 hours |