# Time and work

Hi friends,

I am happy to share this because it is my first post on aptitude.The solutions are look like big but after reading this it helps for exam preparation in simple way.Hope it helps………

##### Important Concepts in Time and Work:

If (a person) able to do 1work in “n” days,then (a person 1day work)=[1/n].

If (a person 1day work )=[1/n],

then(a person) finish the work in “n days” .

##### Explaining Time and Work with example:

Consider kannan(a person) able to do 1work in 1 day.Then kannan able to finish 5works in 5 days.But if1 work in 5 days means it is 1/5 as per concept.Consider kavi able to do half work(i.e 1/2) in 1 day.Then kavi able to finish 1 work in 2 days.So kavi able to finish 5 works in 10 days.But if 1 work in 10days means it is 1/10 as per concept.

Kannan | Kavi |

1^{st} day = 1 work2^{nd} day = 1 work3^{rd} day= 1work4^{th} day= 1 work5^{th} day= 1 work | 1^{st} day = 1/2 work 6^{th} day = 1/2 work2 ^{nd} day = 1/2work 7^{th} day = 1/2 work3 ^{rd} day= 1/2work 8^{th} day = 1/2 work4 ^{th} day= 1/2 work 9^{th} day = 1/2 work5 ^{th} day= 1 /2work 10^{th }day = 1/2 work |

Total=5 works in 5 days | Total=5 work in 10 days |

Why I am mentioning the above ?

Note that if the ability of a person ability is less to finish the work then the days to finish the work wiil be more.

##### Some tips on Time and Work:

Try to convert the days into (a person 1day work)=[1/n].It will be mostly needed step in maximum problems in this type.##### Problem on Time and Work:

##### Question:

A and B together can complete a piece of work in 4 days.If A alone can complete the same work in 12 days,in how many days can B alone complete that work?##### Solution:

It was given that ,A+B=4days ---------------------------------------------------------------->[Here and means +]

A=12days alone to finish work

Therefore (A+B)one day work------------------------------------------>[As given in concept]

W

_{(A+B) }=1/4 ------------------------------------------------------------>[Workdone by A+B in 1day]

W

_{A }=1/12----------------------------------------------------------->[Work done by A alone in 1day]

Therefore,

W

_{(A+B) = }W

_{A }+ W

_{B }

1/4 = 1/12 +W

_{B }

W

_{B }= 1/4 _

_{}1/12-------------------------------------------------->[Work done by B alone in 1day]

W

_{B }=1/6

Finally ,B alone can complete the work in 6 days.

Anything wrong? Comment below…

#### Also See:

Problem on Time and Work

Different Problem on Time and Work

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