6 .
A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in

A. | (A's 1 day's work) : (B's 1 day's work) = 7/4 : 1 = 7 : 4. |

B. | Let A's and B's 1 day's work be 7x and 4x respectively. |

C. | Then, 7x + 4x = 1/7 => 11x = 1/7 => x = 1/77 . |

D. | Therefore A's 1 day's work = ( 1/77 x 7 ) = 1/11 = 11 days |

7 .
X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

A. | 40/3 days | B. | 27 days |

C. | 33 days | D. | 15 days |

8 .
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?

A. | 3.75 days | B. | 4 days |

C. | 5 days | D. | 6 days |

9 .
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?

A. | 20 days | B. | 16 days |

C. | 24 days | D. | 28 days |

10 .
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?

A. | 10 days | B. | 20 days |

C. | 5 days | D. | 4 days |

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