Time and
work is an another important chapter from competition point of view. First of
all I would like to clear you the base concept of this chapter. This chapter is
one of the easiest chapters for students to solve with less calculations. There
is basically one concept involved in this chapter i.e. concept of efficiency or
concept of one day work.
As it is
very clear to all of us that the work is directly related with time. As one can
say if a particular person works for
more time then more work will be done
and if it devotes less time then it yields less work i.e., output of a person
is directly proportional to the time, provided that the worker maintains his/
her efficiency during the work.
The concept
of one day work is similar to unitary method. Some points to be kept as a
concept of this chapter are as follows:-
“If a
worker A completes a work in D days then the work done by the worker in one day
= 1/D work.”.
“The work
in any question must be considered as 1 until the quantity of work is not
specified in the question.”
“No need to
learn too many formulae in this chapter, just clear your concept regarding this
chapter which will help you alot to solve the problems related to this chapter
quickly.”
“The one
and only most flexible formula of Mathematics belongs to this chapter only”.
Most Flexible Formula of Mathematics→
(M
× D × H) /W = Constant
|
Where :- M = Number of
workers working/ worked
D = Number
of days workers worked.
H = Number
of hours the workers worked per day.
W = Number of work done by the workers.
The above mentioned
formula is known as most flexible formula of Mathematics because you can use this
formula to get the formula for our problem as per requirement of the question
and other quantities can be omitted easily. Some of these derived formulae are
as follows :-
1) M1 × D1 = M2
× D2.
2) M1 × H1 = M2 × H2.
3) M1 × D1 × H1
= M2 × D2 ×
H2.
4) (M1 × D1 × H1)
/ W1 = (M2 × D2
× H2) / W2.
Or
M1 × D1 × H1
× W2 = M2 × D2
× H2 × W1.
The Various
Questions related to this chapter which are frequently asked in the
examinations will be presented to your for self study on this blog soon, so
keep visiting and sending your suggestions and requirements too to us through
the forum.
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