Monday, 27 February 2017

Basic Concepts & Short Tricks on Time and Work in Quant Section

Basic Concepts & Short Tricks on Time and Work in Quant Section

Numerical ability section is considered to be one of the toughest subjects of Competition Exams but it can be scored off well if prepared well. Time and Work is one of the toughest chapters which leaves candidates a bit confused and most of the aspirants leave these questions untouched.
To make the chapter easy for you all, we are providing you all some Short Tricks to solve Time and Work Questions which will surely make the chapter easy for you all.

 Basic Concepts of Work and Time: 

In solving the problems based on time and work, we need to calculate the following parameters.
(A) Time : - Time taken to complete an assigned job.
(B) Individual time :- Time needed by single person to complete a job.
(C) Work:- It is the amount of work done actually.

Types of Questions and its Short Tricks

Case 1: A complete job will be considered = 1
Case 2: Assume a person ‘M’ complete a job alone in t days, then time taken by ‘M’=t
Case 3: 1 day’s work by any person
image001
=  part of total work i.e. =
image002
Example:- Ram can whitewash a building in 17 days. Find the work done by Ram in one day.
Solution: Here, time taken by Ram = 17 days, so 1 day’s work by Ram =
image003
 part of total work.

Case 4: The reciprocal of 1 day’s work gives the individual time. i.e., time taken by a single persons to complete the job =
image004
ExampleSunny can do 1/5th of an work in 1 day. In how many days can he complete the same work.
Solution: Time of completion by Sunny alone = individual time =
image005
=
image006
 Therefore , sunny can complete the job alone in 5 days.

Case: 5: When more than one person are 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, B and C are three persons working on a job, then (A+B+C)’s 1 day’s work = A’s 1 day work + B’s 1 days work + C’s 1 days work.

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