A can complete a work in 14 days and B in 30 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 14 days and B in 30 days. If both work together, in how many days will the work be completed?
A. 9.55
B. 17.05
C. 14.55
D. 12.05
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/14 + 1/30. Time = 9.55 days.

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Practice More Time and Work Questions

Question #1
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. 4.95
C. 9.95
D. 14.95

Correct Answer: Option B


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

This question belongs to: Maths Time and Work
Question #2
A and B can complete a piece of work in 18 days and 24 days respectively. They worked together for 6 days and then A left. In how many days will B complete the remaining work?
A. 12 days
B. 14 days
C. 10 days
D. 8 days

Correct Answer: Option C


Explanation:
Total work = LCM(18, 24) = 72 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 72 - 42 = 30 units. Time taken by B to finish remaining work = 30 / 3 = 10 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 17 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?
A. 15.1
B. 13.1
C. 17.1
D. 11.1

Correct Answer: Option D


Explanation:
Combined rate = 1/17 + 1/32. Time = 1 ÷ combined rate = 11.1 days.

This question belongs to: Maths Time and Work