A man and a boy can complete a piece of work in 30 days They both started the work but in the last 6...........

Quantitative Aptitude ( CCS) Time and work

A man and a boy can complete a piece of work in 30 days. They both started the work, but in the last 6 days, only boy does the work and in this way the work got completed in 34 days. How long does the man take alone to complete the work?

30 days

45 days

60 days

90 days

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Explanation:

Solution:
1M + 1B= 30 days
let total work= 30
1 day work of 1 M+ 1B=1
they work together for 34-6=28 days, so they did 28 work together
Remaining work =30-28=2
boy does 2 work in 6 days
30—90 days
M+B=30 ———3
B=90 ————–1(total = 90)
M= 3-1=2
90/2=45 days