A can complete a work in 10 days and B can complete the same work in 30 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 10 days and B can complete the same work in 30 days. If they work together, in how many days will the work be completed?
A. 9.5
B. 7.5
C. 11.5
D. 13.5
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/10 + 1/30. Time = 1 ÷ combined rate = 7.5 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 13 days and B can complete the same work in 33 days. If they work together, in how many days will the work be completed?
A. 11.33
B. 9.33
C. 15.33
D. 13.33

Correct Answer: Option B


Explanation:
Combined rate = 1/13 + 1/33. Time = 1 ÷ combined rate = 9.33 days.

This question belongs to: Maths Time and Work
Question #2
A is 25% more efficient than B. If they working together can finish a work in 20 days, then in how many days can B alone finish it?
A. 45 days
B. 50 days
C. 40 days
D. 36 days

Correct Answer: Option A


Explanation:
Let efficiency of B = 4, then efficiency of A = 5. Combined efficiency = 9 units/day. Total work = 20 * 9 = 180 units. Time taken by B alone = 180 / 4 = 45 days.

This question belongs to: Maths Time and Work
Question #3
A, B, and C can complete a piece of work in 12, 15, and 20 days respectively. In how many days will they finish it together?
A. 5 days
B. 6 days
C. 8 days
D. 4 days

Correct Answer: Option A


Explanation:
Total work = LCM of 12, 15, and 20 = 60 units. Efficiency of A = 5, B = 4, C = 3. Total efficiency = 5 + 4 + 3 = 12 units/day. Days required = 60 / 12 = 5 days.

This question belongs to: Maths Time and Work