1.

A and B can do a piece of work in 40 days , B and C in 30 days and C and A in 24 days. How long will it take to do the work together? How much time will each of them will take to finish it alone

Answer»

Answer:

here given

40(a+b)=1.........(1)

30(b+c)=1.........(2)

30(c+a)=1..........(3)

let T(a+b+c)=1

we wanna find value of t.

LCM in equation 1,2,and 3 is 120.

therefore,

(1)×3=>120(a+b)=3............(4)

(2)×4=>120(b+c)=4.............(5)

(3)×4=>120(c+a)=4..............(6)

adding equation 4,5 and 6 we get,

120(a+b+b+c+c+a)= 3+4+4

=>120 ×2 (a+b+c)= 11

=> 240/11(a+b+c)= 1

=> 21.81 (a+b+c) =1

the value of t is 21.81 or 22 days approximately.

so if they WORK together it will take 22 day.

try SECOND question as we have value of a+b+c.

angelbty.


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