A can do a work in 14 days and B in 24 days. They work together for 5 days. What percentage of work remains? MCQ with Answer and Explanation

A can do a work in 14 days and B in 24 days. They work together for 5 days. What percentage of work remains?
A. 48.45
B. 58.45
C. 43.45
D. 53.45
Answer: Option C
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/14+1/24)) ×100 = 43.45%.

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Practice More Time and Work Questions

Question #1
A can do a piece of work in 15 days and B in 20 days. They began the work together but A left after 4 days. In how many days will B complete the remaining work?
A. 10(2/3) days
B. 10(1/3) days
C. 9(1/3) days
D. 8 days

Correct Answer: Option A


Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 4 days, work completed = 4 * 7 = 28 units. Remaining work = 60 - 28 = 32 units. Time taken by B to complete remaining work = 32 / 3 = 10(2/3) days.

This question belongs to: Maths Time and Work
Question #2
21 men can complete a work in 18 days. If 26 men work at the same rate, the work will be completed in:
A. 19.54
B. 14.54
C. 24.54
D. 29.54

Correct Answer: Option B


Explanation:
Total work = 378 man-days. Time = 378/26 = 14.54 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 11 days and B in 14 days. If they work together, the work will be completed in:
A. 21.16
B. 11.16
C. 6.16
D. 16.16

Correct Answer: Option C


Explanation:
Combined rate = 1/11 + 1/14. Required time = 6.16 days.

This question belongs to: Maths Time and Work