A can do a piece of work in 24 days, B in 52 days and C in 64 days. All begin to do it together but A leaves after 6 days and C leaves 6 days before the completion
of the work. How many days did the work last?
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Answer:
24 6/29
Step-by-step explanation:
A can do a piece of work in 1/24 days
B can do a piece of work in 1/52 days
C can do a piece of work in 1/64 days
A leaves after 6 days
A did 6/24 days
Let 'x; be the complete working days
C leave 6 days before completion of work (x-6)/64
B did worked for last x/52
A+B+C=1(complete work)
6/24+x/52+(x-6)/64=1
LCM of 24,52,64 is 2496
6*104+x*48+39(x-6)=2496
624+48x+39x-234=2496
87x=2106
x=24 6/29
Brainlist to my answer
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