A can complete a work in 18 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 18 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. 11.65
B. 17.65
C. 15.65
D. 13.65
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/18 + 1/33. Time = 1 ÷ combined rate = 11.65 days.

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Time and Work Questions

Question #1
If 5 men can complete a work in 6 days, and 10 women can complete the same work in 5 days, in how many days can 5 men and 5 women complete the work together?
A. 4 days
B. 4.5 days
C. 3 days
D. 3.75 days

Correct Answer: Option D


Explanation:
Efficiency of 5 men = 1/6. Efficiency of 10 women = 1/5, so efficiency of 5 women = 1/10. Combined efficiency of 5 men and 5 women = 1/6 + 1/10 = (5 + 3) / 30 = 8 / 30 = 4 / 15. Time taken together = 15 / 4 = 3.75 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 22 days and B can complete the same work in 17 days. If they work together, in how many days will the work be completed?
A. 9.59
B. 15.59
C. 11.59
D. 13.59

Correct Answer: Option A


Explanation:
Combined rate = 1/22 + 1/17. Time = 1 ÷ combined rate = 9.59 days.

This question belongs to: Maths Time and Work
Question #3
A, B, and C can complete a work in 10, 12, and 15 days respectively. If they all work together, how long will they take to finish the work?
A. 6 days
B. 5 days
C. 4 days
D. 3 days

Correct Answer: Option C


Explanation:
Total work (LCM of 10, 12, 15) = 60 units. Efficiencies: A = 6, B = 5, C = 4. Total combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work