A can complete a work in 23 days and B can complete the same work in 28 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 23 days and B can complete the same work in 28 days. If they work together, in how many days will the work be completed?
A. 18.63
B. 12.63
C. 14.63
D. 16.63
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/23 + 1/28. Time = 1 ÷ combined rate = 12.63 days.

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Practice More Time and Work Questions

Question #1
19 men can complete a work in 29 days. If 23 men work at the same rate, in how many days will the work be completed?
A. 25.96
B. 29.96
C. 23.96
D. 27.96

Correct Answer: Option C


Explanation:
Total work = 19 × 29 = 551 man-days. Required days = 551/23 = 23.96 days.

This question belongs to: Maths Time and Work
Question #2
8 men can complete a work in 18 days. If 12 men work at the same rate, in how many days will the work be completed?
A. 12.0
B. 14.0
C. 16.0
D. 18.0

Correct Answer: Option A


Explanation:
Total work = 8 × 18 = 144 man-days. Required days = 144/12 = 12.0 days.

This question belongs to: Maths Time and Work
Question #3
A, B and C can complete a work in 12, 15 and 20 days respectively. If they work together, in how many days will the work be completed?
A. 4.5 days
B. 6 days
C. 5 days
D. 4 days

Correct Answer: Option C


Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of A = 5, B = 4, C = 3. Combined efficiency = 5 + 4 + 3 = 12 units/day. Time taken together = 60 / 12 = 5 days.

This question belongs to: Maths Time and Work