A can complete a work in 18 days and B can complete the same work in 23 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 18 days and B can complete the same work in 23 days. If they work together, in how many days will the work be completed?
A. 10.1
B. 16.1
C. 12.1
D. 14.1
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/18 + 1/23. Time = 1 ÷ combined rate = 10.1 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. 20.7
B. 13.2
C. 15.7
D. 18.2

Correct Answer: Option B


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

This question belongs to: Maths Time and Work
Question #2
13 men can complete a work in 29 days. If 17 men work at the same rate, in how many days will the work be completed?
A. 24.18
B. 22.18
C. 26.18
D. 28.18

Correct Answer: Option B


Explanation:
Total work = 13 × 29 = 377 man-days. Required days = 377/17 = 22.18 days.

This question belongs to: Maths Time and Work
Question #3
A, B, and C can complete a piece of work in 12, 15, and 20 days respectively. In how many days will they finish it together?
A. 4 days
B. 6 days
C. 5 days
D. 8 days

Correct Answer: Option C


Explanation:
Total work = LCM of 12, 15, and 20 = 60 units. Efficiency of A = 5, B = 4, C = 3. Total efficiency = 5 + 4 + 3 = 12 units/day. Days required = 60 / 12 = 5 days.

This question belongs to: Maths Time and Work