Allied & ICAR Exam Bank • ALLIED_2464 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Worker X can complete a fabrication job in 16 days, and Worker Y can complete it in 24 days. They start together, but X leaves 4 days before completion of the work. The total number of days taken to finish the job is:

Answer Key:

12

Step-by-Step Solution & Explanation

Let total days be $T$. X worked for $(T-4)$ days, Y worked for $T$ days. $(T-4)/16 + T/24 = 1 \implies 3(T-4) + 2T = 48 \implies 5T - 12 = 48 \implies 5T = 60 \implies T = 12$ days.
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