A is twice as efficient as B and can finish a job in 20 days less than B. In how many days can they complete the work together? MCQ with Answer and Explanation

A is twice as efficient as B and can finish a job in 20 days less than B. In how many days can they complete the work together?
A. 14(2/3) days
B. 12 days
C. 13(1/3) days
D. 15 days
Answer: Option C
Solution (By JKExamLibrary)
Efficiency ratio A : B = 2 : 1. Time ratio A : B = 1 : 2. Difference = 1 part = 20 days. So A takes 20 days and B takes 40 days. Total work = 40 units. Combined efficiency = 3. Time taken together = 40 / 3 = 13(1/3) days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
A can complete a work in 10 days and B in 30 days. If they work together, the work will be completed in:
A. 7.5
B. 12.5
C. 17.5
D. 22.5

Correct Answer: Option A


Explanation:
Combined rate = 1/10 + 1/30. Required time = 7.5 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can do a work in 16 days and B in 26 days. They work together for 5 days. What percentage of work remains?
A. 59.52
B. 64.52
C. 49.52
D. 54.52

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/16+1/26)) ×100 = 49.52%.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 14 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?
A. 8.06
B. 14.06
C. 12.06
D. 10.06

Correct Answer: Option A


Explanation:
Combined rate = 1/14 + 1/19. Time = 1 ÷ combined rate = 8.06 days.

This question belongs to: Maths Time and Work