A can complete a work in 10 days and B in 19 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 10 days and B in 19 days. If they work together, the work will be completed in:
A. 16.55
B. 21.55
C. 11.55
D. 6.55
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/10 + 1/19. Required time = 6.55 days.

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Practice More Time and Work Questions

Question #1
A and B work together. A alone can complete the work in 30 days and B alone in 22 days. What percentage of the total daily work is contributed by A?
A. 42.31
B. 44.81
C. 47.31
D. 49.81

Correct Answer: Option A


Explanation:
A share = (1/30) / (1/30+1/22) ×100 = 42.31%.

This question belongs to: Maths Time and Work
Question #2
A and B can do a work in 8 days, B and C in 12 days and A, B, C together in 6 days. In how many days can A and C together complete the work?
A. 8 days
B. 6 days
C. 10 days
D. 4 days

Correct Answer: Option A


Explanation:
Total work = LCM(8, 12, 6) = 24 units. Efficiency of (A+B) = 3, (B+C) = 2, (A+B+C) = 4. Efficiency of C = (A+B+C) - (A+B) = 4 - 3 = 1. Efficiency of A = (A+B+C) - (B+C) = 4 - 2 = 2. Combined efficiency of A and C = 2 + 1 = 3. Time taken by A and C together = 24 / 3 = 8 days.

This question belongs to: Maths Time and Work
Question #3
A can do a work in 11 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 8.48
B. 5.98
C. 13.48
D. 10.98

Correct Answer: Option B


Explanation:
Combined time for full work multiplied by 0.75 = 5.98 days.

This question belongs to: Maths Time and Work