A can complete a work in 10 days and B in 20 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

A can complete a work in 10 days and B in 20 days. After working together for 5 days, what percentage of work remains?
A. 25.0
B. 30.0
C. 32.5
D. 27.5
Answer: Option A
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/10+1/20))×100 = 25.0%.

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Practice More Time and Work Questions

Question #1
9 men can complete a work in 19 days. If 13 men work at the same rate, in how many days will the work be completed?
A. 13.15
B. 19.15
C. 15.15
D. 17.15

Correct Answer: Option A


Explanation:
Total work = 9 × 19 = 171 man-days. Required days = 171/13 = 13.15 days.

This question belongs to: Maths Time and Work
Question #2
A can do a work in 16 days and B in 26 days. They work together for 5 days. What percentage of work remains?
A. 49.52
B. 54.52
C. 64.52
D. 59.52

Correct Answer: Option A


Explanation:
Remaining work = (1 - 5*(1/16+1/26)) ×100 = 49.52%.

This question belongs to: Maths Time and Work
Question #3
12 men can complete a work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working and after 2 days, all of them stop working. How many women should be put on the job to complete the remaining work in 3 days?
A. 20
B. 25
C. 15
D. 18

Correct Answer: Option C


Explanation:
Total work = 12M * 4 = 48 man-days = 15W * 4 = 60 woman-days. So, 48M = 60W => 4M = 5W => 1M = 1.25W. Work done by 6 men in 2 days = 12 man-days. Remaining work = 48 - 12 = 36 man-days. Converting to woman-days: 36 * 1.25 = 45 woman-days. To complete 45 woman-days in 3 days, number of women required = 45 / 3 = 15 women.

This question belongs to: Maths Time and Work