A amp B can do a work in 18 days They started work together and A left after 7 days and B did the re...........

Quantitative Aptitude ( CCS) Time and work

A & B can do a work in 18 days. They started work together and A left after 7 days and B did the remaining work in 33 days. Find in how many days A can alone do the work?

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Explanation:

Solution:
let total work = 18
Efficiency of A &B’s work of 1day =1
In 7days they complete =7 work
Remaining = 18-7 = 11
B do 11 work = 33 days
1 work = 3days
18work = 54days
So ……. A+B = 18…….3 (LCM = 54)
B = 54……..1
So A = 3-1 = 2
A = 54/2 =27days