A can complete a work in 15 days and B can complete the same work in 25 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 15 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?
A. 11.38
B. 13.38
C. 15.38
D. 9.38
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/15 + 1/25. Time = 1 ÷ combined rate = 9.38 days.

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Practice More Time and Work Questions

Question #1
A is 50% more efficient than B. C does half of the work done by A and B together in the same time. If C alone can do the work in 30 days, then A, B and C together can do the work in:
A. 15 days
B. 20 days
C. 10 days
D. 12 days

Correct Answer: Option C


Explanation:
Let efficiency of B = 2, then efficiency of A = 3. Combined efficiency of A and B = 5. Efficiency of C = 5 / 2 = 2.5. Total work = Efficiency of C * Time of C = 2.5 * 30 = 75 units. Combined efficiency of A, B and C = 3 + 2 + 2.5 = 7.5 units/day. Time taken together = 75 / 7.5 = 10 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 8 days and B in 29 days. If they work together, the work will be completed in:
A. 6.27
B. 16.27
C. 11.27
D. 21.27

Correct Answer: Option A


Explanation:
Combined rate = 1/8 + 1/29. Required time = 6.27 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 14 days and B can complete the same work in 24 days. If they work together, in how many days will the work be completed?
A. 12.84
B. 8.84
C. 10.84
D. 14.84

Correct Answer: Option B


Explanation:
Combined rate = 1/14 + 1/24. Time = 1 ÷ combined rate = 8.84 days.

This question belongs to: Maths Time and Work