A man and a boy can do a piece of work in 24 days. If the man works alone for last 4 days, it is complete in 5 days. How long would the boy take to do it alone ?
Answers
Answered by
1
Answer:
120 days for the boy alone to complete
Step-by-step explanation:
(Man + boy)'s one day's work =
24
1
(Man + boy)'s 20 day's work =
24
20
=
6
5
Remaining
6
1
of the work is done by the man alone in 5 days, i.e., the man alone can do
30
1
of the work in 1 day.
∴ Boy's one day's work =
24
1
−
30
1
=
120
1
.
∴ Boy alone would take 120 days to complete the work.
Answered by
1
Answer:
(Man + boy)'s one days' work = 1/24
(Man + boy)'s 20 days' work = 20/24
= 5/6
Remaning 1/6 of the work is done by the man alone can do 1/30 of the work in 1 day.
Therefore Boy's one days' work
= 1/24 – 1/30
= 1/120
Therefore Boy would take 120 days to complete the work.
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