A can complete a work in 14 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

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A can complete a work in 14 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?

A. 8.06

B. 14.06

C. 10.06

D. 12.06

Answer: Option A

Solution (By JKExamLibrary)

Combined rate = 1/14 + 1/19. Time = 1 ÷ combined rate = 8.06 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error

A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start together but C leaves 4 days before the completion of the work. In how many days was the work completed?

A. 10 days

B. 13 days

C. 11 days

D. 12 days

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Correct Answer: Option C

Explanation:
Total work = LCM(24, 30, 40) = 120 units. Efficiency of A = 5, B = 4, C = 3. Let the total number of days be x. A and B work for x days, while C works for (x - 4) days. 5x + 4x + 3(x - 4) = 120 => 12x - 12 = 120 => 12x = 132 => x = 11 days.

This question belongs to: Maths Time and Work

Question #2 Report Error

A and B can do a job in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work?

A. 7 days

B. 9 days

C. 8 days

D. 10 days

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Correct Answer: Option B

Explanation:
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 7 * 3 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B for remaining work = 27 / 3 = 9 days.

This question belongs to: Maths Time and Work