A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days
are required to complete the whole work by C?
a. 30
b. 25
c. 22
d. 20
EXPLANATION
A B C Total Work= LCM of 24,32,60= 480
Days 24 32 60
Eff 20 15 8
Total Work = A(6) + B(8) + C(x)
480 = 20(6) + 15(8) + 8(x)
480 = 120 + 120 + 8x
480 – 240 = 8x
x = 240/8 = 30
A and B worked for 8 days, therefore C will require 22 days extra to complete the work.
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