5 skilled workers can build a wall in 20days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days; If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

Solution follows here:

(A) 20 days

(B) 18 days

(C) 16 days

(D) 15 daysSolution follows here:

__Solution:__

5
skilled workers can build a wall in 20days

=> 1
skilled worker can build a wall in 20 * 5 = 100 days

=> 1
skilled worker can complete 1/100 th of work in one day

8 semi-skilled
workers can build a wall in 25days

=> 1
semi-skilled worker can build a wall in 25 * 8 = 200 days

=> 1
semi-skilled worker can complete 1/200 th of work in one day

10 un-skilled
workers can build a wall in 30days

=> 1
un-skilled worker can build a wall in 30 * 10 = 300 days

=> 1
un-skilled worker can complete 1/300 th of work in one day

Given that a team has 2 skilled, 6 semi-skilled and 5
unskilled workers:

2 skilled can
complete 2 * (1/100)th of work in one day => 1/50

^{th}
6 semi-skilled
can complete 6 * (1/200)th of work in one day => 3/100

^{th}
5 un-skilled can
complete 5 * (1/300)th of work in one day => 1/60

^{th}
The team can
complete => 1/50 + 3/100 + 1/60 = (6+9+5)/300

= 20/300 = 1/15

^{th}of work in one day
This means team
can complete the work in 15 days

**Answer (D)**

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