A can complete a work in 20 days and B in 30 days. They start together but A leaves after 4 days. In how many total days will the work be completed? MCQ with Answer and Explanation

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A can complete a work in 20 days and B in 30 days. They start together but A leaves after 4 days. In how many total days will the work be completed?

A. 24 days

B. 16 days

C. 20 days

D. 25 days

Answer: Option A

Solution (By JKExamLibrary)

Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In 4 days, work completed = 4 * (3 + 2) = 20 units. Remaining work = 60 - 20 = 40 units. Time taken by B to finish remaining work = 40 / 2 = 20 days. Total days = 4 + 20 = 24 days.

This question belongs to: Maths Time and Work

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Question #1 Report Error

A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 4500 as wages. Find the share of C.

A. Rs. 1200

B. Rs. 1800

C. Rs. 1000

D. Rs. 1500

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Correct Answer: Option A

Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Ratio of wages = 6 : 5 : 4. Total ratio parts = 15. Share of C = (4 / 15) * 4500 = 4 * 300 = Rs. 1200.

This question belongs to: Maths Time and Work