# Aptitude - Time and Work

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- Time and Work - Formulas
- Time and Work - General Questions
- Time and Work - Data Sufficiency 1
- Time and Work - Data Sufficiency 2
- Time and Work - Data Sufficiency 3

A's 1 day's work = | 1 | ; |

15 |

B's 1 day's work = | 1 | ; |

20 |

(A + B)'s 1 day's work = | 1 | + | 1 | = | 7 | . | ||

15 | 20 | 60 |

(A + B)'s 4 day's work = | 7 | x 4 | = | 7 | . | ||

60 | 15 |

Therefore, Remaining work = | 1 - | 7 | = | 8 | . | ||

15 | 15 |

(A + B + C)'s 1 day's work = | 1 | , |

4 |

A's 1 day's work = | 1 | , |

16 |

B's 1 day's work = | 1 | . |

12 |

C's 1 day's work = | 1 | - | 1 | + | 1 | = | 1 | - | 7 | = | 5 | . | ||||

4 | 16 | 12 | 4 | 48 | 48 |

So, C alone can do the work in | 48 | = 9 | 3 | days. |

5 | 5 |

A's 2 day's work = | 1 | x 2 | = | 1 | . | ||

20 | 10 |

(A + B + C)'s 1 day's work = | 1 | + | 1 | + | 1 | = | 6 | = | 1 | . | ||

20 | 30 | 60 | 60 | 10 |

Work done in 3 days = | 1 | + | 1 | = | 1 | . | ||

10 | 10 | 5 |

Now, | 1 | work is done in 3 days. |

5 |

Whole work will be done in (3 x 5) = 15 days.

Ratio of times taken by A and B = 1 : 3.

The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

If difference of time is 2 days, B takes 3 days.

If difference of time is 60 days, B takes | 3 | x 60 | = 90 days. | ||

2 |

So, A takes 30 days to do the work.

A's 1 day's work = | 1 |

30 |

B's 1 day's work = | 1 |

90 |

(A + B)'s 1 day's work = | 1 | + | 1 | = | 4 | = | 2 | ||

30 | 90 | 90 | 45 |

A and B together can do the work in | 45 | = 22 | 1 | days. |

2 | 2 |

C's 1 day's work = | 1 | - | 1 | + | 1 | = | 1 | - | 7 | = | 1 | . | ||

3 | 6 | 8 | 3 | 24 | 24 |

A's wages : B's wages : C's wages = | 1 | : | 1 | : | 1 | = 4 : 3 : 1. |

6 | 8 | 24 |

C's share (for 3 days) = Rs. | 3 x | 1 | x 3200 | = Rs. 400. | ||

24 |