A can complete a work in 10 days and B in 30 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 10 days and B in 30 days. If they work together, the work will be completed in:
A. 22.5
B. 12.5
C. 17.5
D. 7.5
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/10 + 1/30. Required time = 7.5 days.

Discuss this Question (0)

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

Practice More Time and Work Questions

Question #1
A can do a work in 19 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 6.73
B. 11.73
C. 9.23
D. 14.23

Correct Answer: Option A


Explanation:
Combined time for full work multiplied by 0.75 = 6.73 days.

This question belongs to: Maths Time and Work
Question #2
A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 6000 as wages. Find the share of A.
A. Rs. 2500
B. Rs. 1800
C. Rs. 2400
D. Rs. 2000

Correct Answer: Option C


Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Ratio of wages is equal to ratio of efficiencies = 6 : 5 : 4. Total ratio parts = 6 + 5 + 4 = 15. Share of A = (6 / 15) * 6000 = 6 * 400 = Rs. 2400.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 15 days and B in 30 days. After working together for 5 days, what percentage of work remains?
A. 55.0
B. 57.5
C. 52.5
D. 50.0

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/15+1/30))×100 = 50.0%.

This question belongs to: Maths Time and Work