A can complete a work in 10 days and B can complete the same work in 20 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 10 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?

A. 12.67

B. 6.67

C. 10.67

D. 8.67

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/10 + 1/20. Time = 1 ÷ combined rate = 6.67 days.

This question belongs to: Maths Time and Work

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Question #1

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A can do a work in 21 days and B in 17 days. In how many days will they complete 75% of the work together?

A. 9.55

B. 7.05

C. 12.05

D. 14.55

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 7.05 days.

This question belongs to: Maths Time and Work

Question #2

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15 men can complete a work in 12 days. How many days will 18 men take to complete the same work?

A. 10 days

B. 9 days

C. 11 days

D. 8 days

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Correct Answer: Option A

Explanation:
Using M1 * D1 = M2 * D2: 15 * 12 = 18 * D2 => 180 = 18 * D2 => D2 = 10 days.

This question belongs to: Maths Time and Work

Question #3

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15 men can complete a work in 13 days. If 19 men work at the same rate, in how many days will the work be completed?

A. 16.26

B. 12.26

C. 14.26

D. 10.26

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Correct Answer: Option D

Explanation:
Total work = 15 × 13 = 195 man-days. Required days = 195/19 = 10.26 days.

This question belongs to: Maths Time and Work

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