Latest Gate Aptitude Question SOLUTION: 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 30days. If a team has 2 skilled, 6 semi-s

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(#M40021712) GATE HR Interview question MATHS Keep an EYE

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 30days. If a team has 2 skilled, 6
semi-skilled and 5 unskilled workers, how long will it take to build the wall?

Asked In Gate MAN (10 years ago)

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prakash kumar  (10 years ago)

let skilled worker 1 day work = x
semiskilled worker 1 day work = y
unskilled worker 1 day work = z
5 skilled worker 1 day work = 5x
5x=1/20
=>x=1/100
8 semiskilled worker 1 day work = 8y
8y=1/25
=>y=1/200
10 unskilled worker 1 day work = 10z
10z=1/30
=>z=1/300
a/c to ques, 2/100 + 6/200 + 5/300
=>(12+18+10)/600
=>1/15
ans is 15 days

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brijesh kumar patel  (7 years ago)

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 => 1/50th
6 semi-skilled can complete 6 * (1/200)th of work in one day => 3/100th
5 un-skilled can complete 5 * (1/300)th of work in one day => 1/60th
The team can complete => 1/50 + 3/100 + 1/60 = (6+9+5)/300
= 20/300 = 1/15th of work in one day
This means team can complete the work in 15 days

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