Question:
A finishes a work in twice the time of B and thrice the time of C. Together they take 2 days. Individual times are?
A finishes a work in twice the time of B and thrice the time of C. Together they take 2 days. Individual times are?
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Work Rate = 1 Time. Sum of rates = Combined rate.
Updated On: Jun 26, 2026
- 10, 6 and 5 days
- 12, 6 and 4 days
- 11, 6 and 5 days
- 10, 5 and 4 days
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Let time for A be $x$. Then time for B = $x/2$ and C = $x/3$.
Step 2: Equation
Combined rate: $1/x + 2/x + 3/x = 1/2$ (as they take 2 days together).
$6/x = 1/2 \implies x = 12$ days.
Step 3: Individuals
A = 12 days, B = $12/2 = 6$ days, C = $12/3 = 4$ days.
Step 4: Conclusion
Individual times are 12, 6, and 4 days. Final Answer: (B)
Let time for A be $x$. Then time for B = $x/2$ and C = $x/3$.
Step 2: Equation
Combined rate: $1/x + 2/x + 3/x = 1/2$ (as they take 2 days together).
$6/x = 1/2 \implies x = 12$ days.
Step 3: Individuals
A = 12 days, B = $12/2 = 6$ days, C = $12/3 = 4$ days.
Step 4: Conclusion
Individual times are 12, 6, and 4 days. Final Answer: (B)
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