A can complete a work in 19 days and B can complete the same work in 29 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 19 days and B can complete the same work in 29 days. If they work together, in how many days will the work be completed?

A. 17.48

B. 13.48

C. 15.48

D. 11.48

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/19 + 1/29. Time = 1 ÷ combined rate = 11.48 days.

This question belongs to: Maths Time and Work

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Question #1

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If 5 men and 2 boys can do in a day 4 times as much work as a man and a boy together, find the ratio of the efficiency of a man to that of a boy.

A. 3 : 1

B. 1 : 2

C. 2 : 1

D. 4 : 1

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Correct Answer: Option C

Explanation:
Given: 5M + 2B = 4 * (1M + 1B) => 5M + 2B = 4M + 4B => 1M = 2B => M / B = 2 / 1. The ratio of efficiency of a man to a boy is 2 : 1.

This question belongs to: Maths Time and Work

Question #2

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A tank can be filled by pipe A in 6 hours and emptied by pipe B in 8 hours. If both pipes are opened together, how much time will it take to fill the empty tank?

A. 18 hours

B. 24 hours

C. 14 hours

D. 12 hours

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Correct Answer: Option B

Explanation:
Total capacity = LCM(6, 8) = 24 units. Efficiency of A = +4, B = -3. Combined efficiency = 4 - 3 = 1 unit/hour. Time required = 24 / 1 = 24 hours.

This question belongs to: Maths Time and Work