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A man and a boy can do a piece of work in 24 days. If the man works alone for the last 4 days, it is complete in 5 days. How long would the boy take to do it alone ?

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100 days

120 days

140 days

150 days

answer is B.

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Detailed Solution

Concept- Time and work have been concerned with the amount of time it takes an individual or a group of individuals to complete a piece of work and the efficiency with which each of them completes it.
One day's work of the man and boy

20 day's work of the man and boy

The remaining

of the work is done by the man alone in 5 days, i.e., the man alone can do

of the work in 1 day.

One day's work of the boy

.
Therefore, it would take 120 days to complete if the boy worked alone.
Hence, the correct answer is option (2).

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