A can complete a work in 28 days and B in 32 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 28 days and B in 32 days. If both work together, in how many days will the work be completed?
A. 17.43
B. 22.43
C. 14.93
D. 19.93
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/28 + 1/32. Time = 14.93 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 19 days and B in 19 days. If both work together, in how many days will the work be completed?
A. 17.0
B. 12.0
C. 14.5
D. 9.5

Correct Answer: Option D


Explanation:
Combined rate = 1/19 + 1/19. Time = 9.5 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 24 days and B in 48 days. After working together for 5 days, what percentage of work remains?
A. 68.75
B. 76.25
C. 73.75
D. 71.25

Correct Answer: Option A


Explanation:
Remaining work = (1 - 5*(1/24+1/48))×100 = 68.75%.

This question belongs to: Maths Time and Work
Question #3
A and B can do a work in 12 days, B and C in 15 days, and C and A in 20 days. How many days will A alone take to finish the work?
A. 60 days
B. 20 days
C. 40 days
D. 30 days

Correct Answer: Option D


Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2*(A+B+C) = 12 => Efficiency of (A+B+C) = 6 units/day. Efficiency of A = (A+B+C) - (B+C) = 6 - 4 = 2 units/day. Time taken by A alone = 60 / 2 = 30 days.

This question belongs to: Maths Time and Work