A can complete a work in 27 days and B in 44 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 27 days and B in 44 days. If both work together, in how many days will the work be completed?
A. 21.73
B. 19.23
C. 24.23
D. 16.73
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/27 + 1/44. Time = 16.73 days.

Discuss this Question (0)

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

Practice More Time and Work Questions

Question #1
11 men can complete a work in 21 days. If 15 men work at the same rate, in how many days will the work be completed?
A. 17.4
B. 15.4
C. 19.4
D. 21.4

Correct Answer: Option B


Explanation:
Total work = 11 × 21 = 231 man-days. Required days = 231/15 = 15.4 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 24 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?
A. 20.07
B. 14.07
C. 18.07
D. 16.07

Correct Answer: Option B


Explanation:
Combined rate = 1/24 + 1/34. Time = 1 ÷ combined rate = 14.07 days.

This question belongs to: Maths Time and Work
Question #3
12 men can complete a piece of work in 12 days. If 6 men leave after 6 days, how many more days will it take to complete the remaining work?
A. 10 days
B. 12 days
C. 8 days
D. 6 days

Correct Answer: Option B


Explanation:
Total work = 12 * 12 = 144 man-days. In 6 days, 12 men complete = 12 * 6 = 72 man-days. Remaining work = 144 - 72 = 72 man-days. Remaining men = 12 - 6 = 6 men. Time taken by 6 men to complete remaining work = 72 / 6 = 12 days.

This question belongs to: Maths Time and Work