A can complete a work in 12 days and B can complete the same work in 17 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 12 days and B can complete the same work in 17 days. If they work together, in how many days will the work be completed?
A. 13.03
B. 7.03
C. 9.03
D. 11.03
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/12 + 1/17. Time = 1 ÷ combined rate = 7.03 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 25 days and B in 18 days. If both work together, in how many days will the work be completed?
A. 10.47
B. 15.47
C. 12.97
D. 17.97

Correct Answer: Option A


Explanation:
Combined rate = 1/25 + 1/18. Time = 10.47 days.

This question belongs to: Maths Time and Work
Question #2
If 5 men can complete a work in 6 days, and 10 women can complete the same work in 5 days, in how many days can 5 men and 5 women complete the work together?
A. 4 days
B. 3 days
C. 4.5 days
D. 3.75 days

Correct Answer: Option D


Explanation:
Efficiency of 5 men = 1/6. Efficiency of 10 women = 1/5, so efficiency of 5 women = 1/10. Combined efficiency of 5 men and 5 women = 1/6 + 1/10 = (5 + 3) / 30 = 8 / 30 = 4 / 15. Time taken together = 15 / 4 = 3.75 days.

This question belongs to: Maths Time and Work
Question #3
A can do a work in 11 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 13.48
B. 10.98
C. 5.98
D. 8.48

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 5.98 days.

This question belongs to: Maths Time and Work