Time and Work MCQs with Answers and Detailed Solutions

Question #341

A and B work together. A alone can complete the work in 18 days and B alone in 28 days. What percentage of the total daily work is contributed by A?

A. 65.87

B. 60.87

C. 68.37

D. 63.37

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Correct Answer: Option B

Explanation:
A share = (1/18) / (1/18+1/28) ×100 = 60.87%.

This question belongs to: Maths Time and Work

Question #342

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

A. 6.38

B. 13.88

C. 8.88

D. 11.38

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Correct Answer: Option A

Explanation:
Combined time for full work multiplied by 0.75 = 6.38 days.

This question belongs to: Maths Time and Work

Question #343

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A can complete a work in 13 days and B in 42 days. If both work together, in how many days will the work be completed?

A. 12.43

B. 9.93

C. 17.43

D. 14.93

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Correct Answer: Option B

Explanation:
Combined rate = 1/13 + 1/42. Time = 9.93 days.

This question belongs to: Maths Time and Work

Question #344

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A can complete a work in 18 days and B in 36 days. After working together for 5 days, what percentage of work remains?

A. 58.33

B. 63.33

C. 60.83

D. 65.83

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/18+1/36))×100 = 58.33%.

This question belongs to: Maths Time and Work

Question #345

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21 men can complete a work in 29 days. If 29 men work at the same rate, how many days are required?

A. 21.0

B. 26.0

C. 23.5

D. 28.5

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Correct Answer: Option A

Explanation:
Total work = 609 man-days. Days = 21.0.

This question belongs to: Maths Time and Work

Question #346

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A can complete a work in 32 days. What percentage of the work will be completed in 7 days?

A. 21.88

B. 26.88

C. 29.38

D. 24.38

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Correct Answer: Option A

Explanation:
Completed percentage = (7/32)×100 = 21.88%.

This question belongs to: Maths Time and Work

Question #347

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A and B work together. A alone can complete the work in 24 days and B alone in 34 days. What percentage of the total daily work is contributed by A?

A. 61.12

B. 63.62

C. 58.62

D. 66.12

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Correct Answer: Option C

Explanation:
A share = (1/24) / (1/24+1/34) ×100 = 58.62%.

This question belongs to: Maths Time and Work

Question #348

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A can do a work in 9 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 12.35

B. 9.85

C. 4.85

D. 7.35

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Correct Answer: Option C

Explanation:
Combined time for full work multiplied by 0.75 = 4.85 days.

This question belongs to: Maths Time and Work

Question #349

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

A. 17.0

B. 14.5

C. 12.0

D. 9.5

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Correct Answer: Option D

Explanation:
Combined rate = 1/19 + 1/19. Time = 9.5 days.

This question belongs to: Maths Time and Work

Question #350

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A can complete a work in 24 days and B in 48 days. After working together for 5 days, what percentage of work remains?

A. 73.75

B. 68.75

C. 71.25

D. 76.25

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Correct Answer: Option B

Explanation:
Remaining work = (1 - 5*(1/24+1/48))×100 = 68.75%.

This question belongs to: Maths Time and Work

Question #351

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27 men can complete a work in 20 days. If 35 men work at the same rate, how many days are required?

A. 22.93

B. 15.43

C. 20.43

D. 17.93

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Correct Answer: Option B

Explanation:
Total work = 540 man-days. Days = 15.43.

This question belongs to: Maths Time and Work

Question #352

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A and B work together. A alone can complete the work in 30 days and B alone in 24 days. What percentage of the total daily work is contributed by A?

A. 46.94

B. 49.44

C. 44.44

D. 51.94

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Correct Answer: Option C

Explanation:
A share = (1/30) / (1/30+1/24) ×100 = 44.44%.

This question belongs to: Maths Time and Work

Question #353

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A can do a work in 15 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 14.91

B. 9.91

C. 7.41

D. 12.41

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Correct Answer: Option C

Explanation:
Combined time for full work multiplied by 0.75 = 7.41 days.

This question belongs to: Maths Time and Work

Question #354

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A can complete a work in 25 days and B in 25 days. If both work together, in how many days will the work be completed?

A. 12.5

B. 15.0

C. 20.0

D. 17.5

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Correct Answer: Option A

Explanation:
Combined rate = 1/25 + 1/25. Time = 12.5 days.

This question belongs to: Maths Time and Work

Question #355

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A can complete a work in 13 days and B in 26 days. After working together for 5 days, what percentage of work remains?

A. 44.81

B. 47.31

C. 49.81

D. 42.31

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/13+1/26))×100 = 42.31%.

This question belongs to: Maths Time and Work

Question #356

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33 men can complete a work in 26 days. If 41 men work at the same rate, how many days are required?

A. 23.43

B. 28.43

C. 25.93

D. 20.93

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Correct Answer: Option D

Explanation:
Total work = 858 man-days. Days = 20.93.

This question belongs to: Maths Time and Work

Question #357

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A and B work together. A alone can complete the work in 18 days and B alone in 30 days. What percentage of the total daily work is contributed by A?

A. 70.0

B. 65.0

C. 67.5

D. 62.5

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Correct Answer: Option D

Explanation:
A share = (1/18) / (1/18+1/30) ×100 = 62.5%.

This question belongs to: Maths Time and Work

Question #358

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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. 7.05

B. 12.05

C. 14.55

D. 9.55

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Correct Answer: Option A

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

This question belongs to: Maths Time and Work

Question #359

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A can complete a work in 31 days and B in 31 days. If both work together, in how many days will the work be completed?

A. 20.5

B. 23.0

C. 18.0

D. 15.5

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Correct Answer: Option D

Explanation:
Combined rate = 1/31 + 1/31. Time = 15.5 days.

This question belongs to: Maths Time and Work

Question #360

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A can complete a work in 19 days and B in 38 days. After working together for 5 days, what percentage of work remains?

A. 60.53

B. 68.03

C. 65.53

D. 63.03

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/19+1/38))×100 = 60.53%.

This question belongs to: Maths Time and Work

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