A can complete a work in 18 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 18 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed?
A. 15.0
B. 13.0
C. 9.0
D. 11.0
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/18 + 1/18. Time = 1 ÷ combined rate = 9.0 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 11 days and B in 14 days. If they work together, the work will be completed in:
A. 11.16
B. 16.16
C. 21.16
D. 6.16

Correct Answer: Option D


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

This question belongs to: Maths Time and Work
Question #2
A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
A. 80
B. 82
C. 81
D. 83

Correct Answer: Option C


Explanation:
Remaining days = 46 - 33 = 13 days. Remaining work = 1 - 4/7 = 3/7. Using (M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2: (117 * 33 * 8) / (4/7) = (M2 * 13 * 9) / (3/7) => (117 * 33 * 8) / 4 = (M2 * 13 * 9) / 3 => 117 * 33 * 2 = M2 * 13 * 3 => 117 * 33 * 2 = 39 * M2 => M2 = (117 * 33 * 2) / 39 = 3 * 33 * 2 = 198 men. Additional men = 198 - 117 = 81.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 18 days. What percentage of work will A complete in 6 days?
A. 43.33
B. 48.33
C. 38.33
D. 33.33

Correct Answer: Option D


Explanation:
Percentage completed = (6/18) × 100 = 33.33%.

This question belongs to: Maths Time and Work