GATE 2010 CS (CS1) – Question 9

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

Five skilled workers complete a job in 20 days, eight semiskilled workers in 25 days, and ten unskilled workers in 30 days. How long will two skilled, six semiskilled and five unskilled workers working together take?

20 days
18 days
16 days
15 days

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Show answer and explanation

Correct answer: (D) 15 days

Explanation

The daily rates of one worker are 1/100, 1/200 and 1/300 of the job respectively. The combined rate is 2/100+6/200+5/300=(6+9+5)/300=1/15. Therefore the team takes fifteen days, D, assuming constant additive productivity.

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