Question

.A and B can do a piece of work in 10 days, B and C can do it in 15 days and A and C together

can do it in 12 days. How long will they take to do it together? How long will B take to do it

alone?​

Answer 1

Step-by-step explanation:

A + B = 10 , B+C = 12 , A+C = 15

Now finding LCM which we would consider as total work , LCM = 60 = total work

Now , Efficiency of A + B in 1 day = 60/10 so 6.

Similarly , B+C = 5 and A+C = 4.

add all of the efficiency

(A+B) + ( B+C) + ( A+C ) = 5+4+6

2 ( A+ B+ C ) = 15

A+B+C = 15/2 , THIS IS EFFICIENCY

NOW, TIME = TOTAL WORK / EFFICIENCY

TIME = 60* 2 /15 = 8 days.

Answer 2

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A + B + C = 8 Days

B = 24/5 Days