# Time and Work Questions

A) 17 + 4/7 days | B) 13 + 1/3 days |

C) 15 + 3/2 days | D) 16 days |

Explanation:

C alone can finish the work in 40 days.

As given C does half as much work as A and B together

=> (A + B) can do it in 20 days

(A + B)s 1 days wok = 1/20.

A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)

A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]

B's 1 days work = (1/20) x (2/3) = 1/30

(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40

All the three together will finish it in 40/3 = 13 and 1/3 days.

A) 45 metric tonnes | B) 47 metric tonnes |

C) 55 metric tonnes | D) 34 metric tonnes |

Explanation:

2 engines of former type for one hour consumes 2x24/(6x8) = 1 metric ton

i.e. 3 engines of latter type consumes 1 ton for one hour

hence 9 engines consumes 3 tons for one hour

for 15 hours it is 15 x 3 = 45 metric tonnes.

A) 5.5 days | B) 6 days |

C) 4.2 days | D) 5 days |

Explanation:

L's 10 days work =

Remaining work =

Now, work is done by K in one day

work is done by K in

A) 15 days | B) 11 days |

C) 14 days | D) 12 days |

Explanation:

9M + 12B ----- 12 days ...........(1)

12M + 12B ------- 10 days........(2)

10M + 10B -------?

108M + 144B = 120M +120B

24B = 12M => 1M = 2B............(3)

From (1) & (3)

18B + 12B = 30B ---- 12 days

20B + 10B = 30B -----? => 12 days.

A) 7 hrs | B) 6 hrs 10 min |

C) 5 hrs 25min | D) 8 hrs 15 min |

Explanation:

A can write in 1hour = 32/6 pages

similarly

B in 1 hour = 40/5 pages

Together (A+B) in 1 hour = 32/6 + 40/5 = 40/3

so,

A+B write 40/3 pages in 1 hour

A+B write 110 pages in (3/40) x 110 Hours = 8 hours 15 min.