A is 30% more efficient than B. How much time will they take together to complete a job which A alone can finish in 23 days? MCQ with Answer and Explanation

A is 30% more efficient than B. How much time will they take together to complete a job which A alone can finish in 23 days?
A. 14 days
B. 13 days
C. 11 days
D. 12 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Let efficiency of B = 10, then efficiency of A = 13. Total work = Efficiency of A * Time taken by A = 13 * 23 = 299 units. Combined efficiency of A and B = 13 + 10 = 23. Time taken together = 299 / 23 = 13 days.

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Practice More Time and Work Questions

Question #1
A and B together can do a piece of work in 8 days, B and C together in 12 days, and C and A together in 16 days. In how many days can A, B and C together finish the work?
A. 8(2/13) days
B. 5(5/13) days
C. 7(5/13) days
D. 6(6/13) days

Correct Answer: Option C


Explanation:
Total work = LCM(8, 12, 16) = 48 units. Efficiency of (A+B) = 6, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2 * (A+B+C) = 13, so efficiency of (A+B+C) = 13/2. Time taken = 48 / (13/2) = 96 / 13 = 7(5/13) days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 8 days and B in 13 days. If they work together, the work will be completed in:
A. 19.95
B. 14.95
C. 4.95
D. 9.95

Correct Answer: Option C


Explanation:
Combined rate = 1/8 + 1/13. Required time = 4.95 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 17 days and B in 13 days. If they work together, the work will be completed in:
A. 17.37
B. 7.37
C. 12.37
D. 22.37

Correct Answer: Option B


Explanation:
Combined rate = 1/17 + 1/13. Required time = 7.37 days.

This question belongs to: Maths Time and Work