A can complete a work in 22 days and B in 20 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 22 days and B in 20 days. If they work together, the work will be completed in:
A. 15.48
B. 10.48
C. 25.48
D. 20.48
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/22 + 1/20. Required time = 10.48 days.

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Practice More Time and Work Questions

Question #1
A is twice as efficient as B. If they complete a piece of work together in 14 days, how many days will A alone take to finish it?
A. 35 days
B. 21 days
C. 28 days
D. 42 days

Correct Answer: Option B


Explanation:
Let B's efficiency be 1 unit/day, so A's efficiency is 2 units/day. Combined efficiency = 3 units/day. Total work = 3 * 14 = 42 units. Time taken by A alone = 42 / 2 = 21 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 21 days and B in 31 days. If both work together, in how many days will the work be completed?
A. 17.52
B. 20.02
C. 12.52
D. 15.02

Correct Answer: Option C


Explanation:
Combined rate = 1/21 + 1/31. Time = 12.52 days.

This question belongs to: Maths Time and Work
Question #3
A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work can they finish in a day?
A. 1/9
B. 1/4
C. 2/5
D. 1/6

Correct Answer: Option D


Explanation:
Time taken by A = 18 days, so B takes 9 days. Efficiency of A = 1/18, B = 1/9. Together in one day = 1/18 + 1/9 = 3/18 = 1/6.

This question belongs to: Maths Time and Work