A can complete a work in 11 days and B in 22 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

A can complete a work in 11 days and B in 22 days. After working together for 5 days, what percentage of work remains?
A. 31.82
B. 34.32
C. 39.32
D. 36.82
Answer: Option A
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.

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Practice More Time and Work Questions

Question #1
A can complete a work in 23 days and B in 28 days. If both work together, in how many days will the work be completed?
A. 12.63
B. 20.13
C. 17.63
D. 15.13

Correct Answer: Option A


Explanation:
Combined rate = 1/23 + 1/28. Time = 12.63 days.

This question belongs to: Maths Time and Work
Question #2
23 men can complete a work in 26 days. If 31 men work at the same rate, how many days are required?
A. 26.79
B. 21.79
C. 24.29
D. 19.29

Correct Answer: Option D


Explanation:
Total work = 598 man-days. Days = 19.29.

This question belongs to: Maths Time and Work
Question #3
10 men can complete a work in 7 days. But 10 women can complete the same work in 14 days. If 5 men and 10 women work together, in how many days will the work be completed?
A. 8 days
B. 7 days
C. 5 days
D. 6 days

Correct Answer: Option B


Explanation:
Efficiency of 10 men = 1/7, so 1 man = 1/70. Efficiency of 10 women = 1/14. Efficiency of 5 men and 10 women = 5*(1/70) + 1/14 = 1/14 + 1/14 = 2/14 = 1/7. Thus, they will complete the work in 7 days.

This question belongs to: Maths Time and Work