A can complete a work in 17 days and B can complete the same work in 32 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 17 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?
A. 15.1
B. 13.1
C. 17.1
D. 11.1
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/17 + 1/32. Time = 1 ÷ combined rate = 11.1 days.

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Practice More Time and Work Questions

Question #1
17 men can complete a work in 27 days. If 21 men work at the same rate, in how many days will the work be completed?
A. 21.86
B. 25.86
C. 27.86
D. 23.86

Correct Answer: Option A


Explanation:
Total work = 17 × 27 = 459 man-days. Required days = 459/21 = 21.86 days.

This question belongs to: Maths Time and Work
Question #2
A, B and C can complete a work in 12, 15 and 20 days respectively. If they work together, in how many days will the work be completed?
A. 6 days
B. 5 days
C. 4 days
D. 4.5 days

Correct Answer: Option B


Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of A = 5, B = 4, C = 3. Combined efficiency = 5 + 4 + 3 = 12 units/day. Time taken together = 60 / 12 = 5 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 24 days and B in 18 days. If they work together, the work will be completed in:
A. 15.29
B. 20.29
C. 10.29
D. 25.29

Correct Answer: Option C


Explanation:
Combined rate = 1/24 + 1/18. Required time = 10.29 days.

This question belongs to: Maths Time and Work