nonintegral values

example

 

example

'Non-integral values' refer to values having non-integral 'components'.

Examples include fractions, irrationals (and, hence, transcendentals), etc...

Examples:
3/8 =0.375 --- Fraction
1+3/8=11/8=1.375 --- Value containing fractional component
1/3≈0.33333 --- Fraction not precisely expressible via expansion
√1000 = 10*√10 ≈ 31.6228 --- Irrational
∏≈3.14159 --- Transcendental (and, perforce, irrational)

Plainly stated -- Expressions having significant digits right of a decimal point are NIX!!! --- Got it?

 

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

making equations.
1/4*M+ 1/6*W=1/8 work in one day
1/3*M+1/7*Q=1/10 work in one day
is this right

 

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

Hands off the syllabus! -- Please finish the last problem -- Then we're on to the problem stated in post #972!

 

Two cars are traveling at 60 mph and 45 mph respectively. If the faster car travels two hours longer and twice as far, then:
What are the distances traveled by each car?
What are the operation times of each car?

If the faster car travels two hours longer and twice as far, then:
Ta+2 hours
Da+2

 

If the faster car travels two hours longer and twice as far, then:
Ta+2 hours
Da+2

@RRITESH KAKKAR

I'll be delighted to assist you with this exercise as soon as you finish the last one!

 

I'll be delighted to assist you with this exercise as soon as you finish the last one!

which last one?

 

which last one?

The exercise presented in post #957

 

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

This has been done.

 

This has been done.

Not quite! -- You have yet to properly state the solution

 

why, we say these sum as exercise does it relate to mental exercise like we do in gym?

 

why, we say these sum as exercise does it relate to mental exercise like we do in gym?

In this context an 'exercize' is an activity intended to build strength or skill --- So, yes - there is an analogy between physical exercise and mental exercise...

 

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

P=1/8 work done in 1 hour
Q=1/10
R=1/12
in 2 hours
P+Q+R=RESULT *2
(1/8+1/10+1/12)*2
EQUAL=0.6166

let X be the left hours
X*(1/10+1/12)
so, total
(P+Q+R)*2+X*(Q+R)=1
0.6166+X*0.1833=1
X=~2hours
So, total time will be ~2+2=4Hours

 

0.6166+X*0.1833=1

PLEASE DO NOT EXPRESS NON-INTEGRAL VALUES VIA DECIMAL EXPANSIONS!!! Grrrrrr!!!!

 

So, total time will be ~2+2=4Hours

Close but think again...

 

PLEASE DO NOT EXPRESS NON-INTEGRAL VALUES VIA DECIMAL EXPANSIONS!!! Grrrrrr!!!!

Then how or in which format?

 

Close but think again...

nearly 1PM

 

Then how or in which format?

See post #982...

In this case proper fractions are preferred...

 

nearly 1PM

Consider this:

So, total time will be ~2+2=4Hours

--- Makes no sense because 4 hours is not the same as ~4 hours...

 

0.6166+X*0.1833=1
616/100+X*183/100=1
X*183/100=1-616/100
like this we get
x=2+98/100