A can complete a work in 23 days and B can complete the same work in 33 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 33 days. If they work together, in how many days will the work be completed?
A. 17.55
B. 19.55
C. 13.55
D. 15.55
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/23 + 1/33. Time = 1 ÷ combined rate = 13.55 days.

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Practice More Time and Work Questions

Question #1
A, B and C together can earn Rs. 300 per day, while A and C together can earn Rs. 188 and B and C together can earn Rs. 152. Find the daily earning of C.
A. Rs. 112
B. Rs. 60
C. Rs. 50
D. Rs. 40

Correct Answer: Option D


Explanation:
Given: A + B + C = 300, A + C = 188, B + C = 152. Substitute A + C in the first equation: 188 + B = 300 => B = 112. Now substitute B in B + C = 152: 112 + C = 152 => C = 40. Thus, C's earning is Rs. 40.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 23 days and B in 26 days. If they work together, the work will be completed in:
A. 27.2
B. 22.2
C. 12.2
D. 17.2

Correct Answer: Option C


Explanation:
Combined rate = 1/23 + 1/26. Required time = 12.2 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 25 days and B in 18 days. If both work together, in how many days will the work be completed?
A. 12.97
B. 17.97
C. 15.47
D. 10.47

Correct Answer: Option D


Explanation:
Combined rate = 1/25 + 1/18. Time = 10.47 days.

This question belongs to: Maths Time and Work