A can complete a work in 15 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

Question

A can complete a work in 15 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. 10.0

B. 14.0

C. 16.0

D. 12.0

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/15 + 1/30. Time = 1 ÷ combined rate = 10.0 days.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 34 days and B in 45 days. If both work together, in how many days will the work be completed?

A. 26.87

B. 19.37

C. 24.37

D. 21.87

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Correct Answer: Option B

Explanation:
Combined rate = 1/34 + 1/45. Time = 19.37 days.

This question belongs to: Maths Time and Work

Question #2

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A can do a work in 21 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 10.73

B. 15.73

C. 13.23

D. 8.23

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Correct Answer: Option D

Explanation:
Combined time for full work multiplied by 0.75 = 8.23 days.

This question belongs to: Maths Time and Work

Question #3

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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. 36 days

B. 45 days

C. 40 days

D. 50 days

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Correct Answer: Option B

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

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