A can complete a work in 23 days and B in 21 days. If both 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 23 days and B in 21 days. If both work together, in how many days will the work be completed?

A. 13.48

B. 15.98

C. 18.48

D. 10.98

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/23 + 1/21. Time = 10.98 days.

This question belongs to: Maths Time and Work

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Question #1

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A is twice as fast as B and B is twice as fast as C. If they together can complete a work in 4 days, in how many days can C alone complete it?

A. 16 days

B. 28 days

C. 24 days

D. 32 days

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Correct Answer: Option B

Explanation:
Let efficiency of C = 1, then B = 2 and A = 4. Combined efficiency = 1 + 2 + 4 = 7 units/day. Total work = 4 * 7 = 28 units. Time taken by C alone = 28 / 1 = 28 days.

This question belongs to: Maths Time and Work

Question #2

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If 8 men and 12 boys can finish a piece of work in 10 days, while 6 men and 8 boys can finish it in 14 days, find the time taken by 1 man alone to complete the work.

A. 120 days

B. 140 days

C. 160 days

D. 100 days

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Correct Answer: Option B

Explanation:
Total work = 10 * (8M + 12B) = 14 * (6M + 8B) => 80M + 120B = 84M + 112B => 4M = 8B => 1M = 2B. Total work = 10 * (8M + 6M) = 140M. Thus, 1 man alone will take 140 days.

This question belongs to: Maths Time and Work