Time and work, formula and basic tricks

MaNiSH manevandra

Time and work, formula and basic tricks

29 May 2020

Introduction

Time and Work: Important formulas and solved problems

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Questions

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Introduction

In most of the problems on time and work, one of the following basic parameters is to be calculated:

Time: Time needed by one or more than one person to complete a job or time for which a person(s) actually worked on the assigned job.

Alone time : Time needed by single person to complete a job.

Work : The amount of total work (assigned) or the part of total work actually done.

Basic concepts :

Total amount of a complete job (or assigned job) = 1, always , unless specified.

If any person `M’ completes a job alone in t days , then alone time for `M’ = t

1 day’s work by any person \(={1 \over alone \ time}th \) part of total work

When more than one person working on the same piece of work, then their combined 1 day’s work = sum of 1 day’s work by each person.

i.e , if a A ,B and C are three persons working on job, then (A + B + C)’s 1 day’s work = A’s 1 day’s work + B’s 1 days work + c’s 1 day’s work.

The reciprocal of the combined 1 day’s work gives the time for completion by the person working together.

i.e , time for completion \(= {1 \over combined \ 1 \ day’s} \) work .

It implies that,

If three person, says A ,B, and C are working Job,then,

Time for completion by them = ((A+B+C)’s 1 day’s work)

Time and Work: Important formulas and solved problems

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Time and work, formula and basic tricks

Time and work, formula and basic tricks

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Introduction

Basic concepts :

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