A can complete a work in 19 days and B in 19 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 19 days and B in 19 days. If both work together, in how many days will the work be completed?
A. 12.0
B. 14.5
C. 9.5
D. 17.0
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/19 + 1/19. Time = 9.5 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 22 days and B in 33 days. If both work together, in how many days will the work be completed?
A. 18.2
B. 20.7
C. 13.2
D. 15.7

Correct Answer: Option C


Explanation:
Combined rate = 1/22 + 1/33. Time = 13.2 days.

This question belongs to: Maths Time and Work
Question #2
A and B can do a piece of work in 12 days, B and C in 15 days, and C and A in 20 days. If A, B and C work together, in how many days will they complete the work?
A. 5 days
B. 12 days
C. 8 days
D. 10 days

Correct Answer: Option D


Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Sum of efficiencies = 2 * (A+B+C) = 12 => Efficiency of (A+B+C) = 6 units/day. Time taken together = 60 / 6 = 10 days.

This question belongs to: Maths Time and Work
Question #3
A and B work together. A alone can complete the work in 30 days and B alone in 28 days. What percentage of the total daily work is contributed by A?
A. 50.78
B. 55.78
C. 48.28
D. 53.28

Correct Answer: Option C


Explanation:
A share = (1/30) / (1/30+1/28) ×100 = 48.28%.

This question belongs to: Maths Time and Work