A can complete a work in 24 days and B in 30 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 24 days and B in 30 days. If both work together, in how many days will the work be completed?
A. 18.33
B. 13.33
C. 20.83
D. 15.83
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/24 + 1/30. Time = 13.33 days.

Discuss this Question (0)

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

Practice More Time and Work Questions

Question #1
19 men can complete a work in 23 days. If 23 men work at the same rate, in how many days will the work be completed?
A. 19.0
B. 25.0
C. 21.0
D. 23.0

Correct Answer: Option A


Explanation:
Total work = 19 × 23 = 437 man-days. Required days = 437/23 = 19.0 days.

This question belongs to: Maths Time and Work
Question #2
A can do a piece of work in 10 days, B in 15 days. They work together for 2 days and then A leaves. In how many days will B complete the remaining work?
A. 12 days
B. 10 days
C. 11 days
D. 8 days

Correct Answer: Option B


Explanation:
Total work = LCM(10, 15) = 30 units. Efficiency of A = 3, B = 2. Combined efficiency = 5 units/day. In 2 days, work completed = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by B to complete remaining work = 20 / 2 = 10 days.

This question belongs to: Maths Time and Work
Question #3
16 men can complete a work in 20 days. If 20 men work at the same rate, in how many days will the work be completed?
A. 16.0
B. 18.0
C. 20.0
D. 22.0

Correct Answer: Option A


Explanation:
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.

This question belongs to: Maths Time and Work