5 skilled people can do a work in 20 days 8 semiskilled people can do the same work in 25 days 10 un...........

Quantitative Aptitude (CDS) Time and work

5 skilled people can do a work in 20 days. 8 semiskilled people can do the same work in 25 days, 10 unskilled people can do the same work in 25 days. In how many days a team of 2 skilled, 6 semiskilled, 5 unskilled workers can do the same work?

12days

14days

17days

15days

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Explanation:

Let the total unit of work = 100 units (skilled = s, semiskilled = sem, unskilled = un)
skilled = 5 unit/day
semiskilled = 4unit/day
unskilled = 10/3unit/day
Total work of all types of people in a day = 5+4+10/3 = 152/3 unit
5×s×20= 8×sem×25 = 10×un×30
100s = 200sem = 300un
1s = 2sem = 3un
10unskilled take 30days
2s+6sem + 5un = 6un +9un+5un = 20un
10/20×30 = 15days

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