Question

plsee solve thissssss

Answer 1

\[\frac{1}{A}+\frac{1}{B}=\frac{1}{10}\]
\[\frac{1}{B}+\frac{1}{C}=\frac{1}{12}\]
\[\frac{1}{A}+\frac{1}{C}=\frac{1}{15}\]
where A, B and C are the fractions of the work that A, B and C can each complete alone in 1 hour.
Solve these simultaneous equations to find A, B and C.

Answer 2

lol, i will make a bit different :)
Va + Vb = x/10
Vb + Vc = x/12
Va + Vc = x/15

add all 3, giving us
2(Va + Vb + Vc) = x/10+x/12+x/15
(Va + Vb + Vc) = (x/10 + x/12 + x/15)/2 = x/?

the sign ?, will be ur answer
@msingh

Answer 3

i got A = 24
B = 120/7 and
C= 40 days
Total A+B+C= 81.1 days ,
so plse tell me whether i m right or wrong

Answer 4

A+B+C should be smaller than 10 hours - if A and B can do the work in 10 hours, then A and B and C can do it in less than 10.

Answer 5

it is an integer number :)
can u simplify this :
(x/10 + x/12 + x/15)/2 = x / ?

Answer 6

No, i m telling the final answer which i got , after solving the whole equation

Answer 7

(x/10 + x/12 + x/15)/2 = x / ?

(x/10 + x/12 + x/15)/2
= (6x/60 + 5x/60 + 4x/60)/2
= (15x/60)/2
= (x/4)/2
= x / ?
grgggggggggggg --"

Answer 8

x/8

Answer 9

the denominator as ur answer

Answer 10

u mean 8

Answer 11

yes, the answer should 8 hours !
please, recheck ur answer @kropot72

Answer 12

@msingh do u still wants the solving for the rest ?

Answer 13

yes

Answer 14

plse if u can

Answer 15

ok, we have if A and B and C work together, its time 8 h
Va + Vb + Vc = x/8

now, to get each time if independently
look at the 1st equation like i saide before above,
Va + Vb = x/10
subtitute this, to Va + Vb + Vc = x/8
x/10 + Vc = x/8
so, Vc = x/8 - x/10 = x / ?

u will get the time for C

Answer 16

got it ?

Answer 17

oaky

Answer 18

so, what ur answer ?

Answer 19

x/40

Answer 20

just look the denominator part, it is 40 h

Answer 21

it means if C works alone, his time = 40 h

Answer 22

okay

Answer 23

now, look at the 2nd eqution above,
Vb + Vc = x/12
subtitute this to Va + Vb + Vc = x/8
we have, Va + x/12 = x/8
so, Va = x/8 - x/12 = x / ?

Answer 24

x/24

Answer 25

so, what means is that

Answer 26

a= 24 hrs

Answer 27

exactly, you are right
now, can u getting for B

Answer 28

with same idea like we got A and B respectively

Answer 29

okay , in this sum we have to find time for A,, Band C work
not the days

Answer 30

yes, just still in unit hours

Answer 31

oops that's why i was doing wrong
okay after calculating the hours of A, B and C
thten we will add them
A+B+C

Answer 32

yes, but the equations still satisfied like we have above :
Va + Vb = x/10 ... (1)
Vb + Vc = x/12 ... (2)
Va + Vc = x/15 ... (3)
Va + Vb + Vc = x/8 ... (4)

Answer 33

okay

Answer 34

now, how do u getting the time for B ?

Answer 35

hint :
subtitute (3) to (4)

Answer 36

Vc=x/8-x/15

Answer 37

yes
so, what ur answer ?


btw, u can also take from the 1st eq.
Va + Vb = x/10
Vb = ... (the result will same :)

Answer 38

okay

Answer 39

got it ?

Answer 40

hint :
it is not integer

Answer 41

yes
i have done..
@RadEn
i got it
thanks bro

Answer 42

the answer is 120/7 hours (time for B if works alone)

you're welcome :)

Answer 43

@RadEn Yes, the time taken if A, B and C work together is 8 hours.