SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-16

  • question_answer
    5 skilled workers can build a wall in 5 20 days, 8 semi-skilled worker can build a wall in 25 days, 10 unskilled workers can build a wall in 30 days. If a group has 2 skilled, 6 semiskilled and 5 unskilled workers, how long will it take to build the wall?

    A) 16 days                        

    B) 18 days

    C) 15 days                        

    D) 12 days

    Correct Answer: C

    Solution :

     \[(5\times 20)\] skilled worker \[=(8\times 25)\] semi-skilled workers \[=(10\times 30)\] unskilled worker 100 skilled worker = 200 semi-skilled worker = 300 unskilled worker 1 skilled worker = 2 semi-skilled worker = 3 unskilled worker So, 3 skilled worker = 6 semi-skilled worker and \[\frac{5}{3}\] skilled worker \[=\left( 3\times \frac{5}{3} \right)\] = 5 unskilled worker According to questions \[\Rightarrow \,\,{{m}_{1}}\,{{d}_{1}}={{m}_{2}}\,{{d}_{2}}\] \[5\times 20=\left( 2+3+\frac{5}{3} \right)\times {{d}_{2}}\] \[100=\left( \frac{6+9+5}{3} \right)\times {{d}_{2}}\] \[{{d}_{2}}=\frac{5\times 20\times 3}{20}=\mathbf{15}\,\,\mathbf{days}\]


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