8 men or 10 boys can do a work in 36 days. In how many days can 16 men and 5 boys do the same work?
Answers
Answer:
Step-by-step explanation:
They will finish the work in 14 days and 2/5th of 15th day.i.e.,14 days 4 hours and 48 minutes.
8 men take 36 days to finish work.
=> 1 man take 8 × 36 = 288 days to finish it.
So the amount of work done by 1 man in a day = 1/288
=> Amount of work done by 16 men in a day = 16 × 1/288
= 1/18
10 boys take 36 days to finish work.
=> 1 boy take 10 × 36 = 360 days to finish it.
So the amount of work done by 1 boy in a day = 1/360
=> Amount of work done by 5 boys in a day = 5 × 1/360
= 1/72
Work done by 16 men and 5 boys in a day = 1/18 + 1/72
= 5/72
Hence they will take 14 days and 2/5th of 15th day to complete the work.i.e.,14 days 4 hours and 48 minutes.
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