Time & Work Mcqs

Q.  A,B,C, can do a work in 8,14,16 days respectively. A does the work for the first 2 days. B continues from it and finishes 2/3rd of the remaining work. C finishes the remaining work. How many days would have taken to complete the work?

a. 13
b. 11
c. 12
d. 15


ANSWER: See Answer
 
A completes 2*(1/8) = 1/4th of the work 2/3rd of the remaining work
= (3/4) * (2/3) = 1/2 B completes 1/2 of the work in
(1/2)÷(1/14) = 7 days C completes 1/4th of the work in
(1/4)÷(1/16) = 4 days They take 13 days to complete the work
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