Time and Work MCQs with Answers and Detailed Solutions

Question #381

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A can do a work in 9 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 12.65

B. 7.65

C. 5.15

D. 10.15

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Correct Answer: Option C

Explanation:
Combined time for full work multiplied by 0.75 = 5.15 days.

This question belongs to: Maths Time and Work

Question #382

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A can complete a work in 15 days and B in 32 days. If both work together, in how many days will the work be completed?

A. 12.71

B. 17.71

C. 15.21

D. 10.21

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Correct Answer: Option D

Explanation:
Combined rate = 1/15 + 1/32. Time = 10.21 days.

This question belongs to: Maths Time and Work

Question #383

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A can complete a work in 15 days and B in 30 days. After working together for 5 days, what percentage of work remains?

A. 55.0

B. 57.5

C. 50.0

D. 52.5

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Correct Answer: Option C

Explanation:
Remaining work = (1 - 5*(1/15+1/30))×100 = 50.0%.

This question belongs to: Maths Time and Work

Question #384

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A and B work together. A alone can complete the work in 18 days and B alone in 34 days. What percentage of the total daily work is contributed by A?

A. 67.88

B. 70.38

C. 65.38

D. 72.88

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Correct Answer: Option C

Explanation:
A share = (1/18) / (1/18+1/34) ×100 = 65.38%.

This question belongs to: Maths Time and Work

Question #385

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A can do a work in 15 days and B in 17 days. In how many days will they complete 75% of the work together?

A. 13.48

B. 5.98

C. 8.48

D. 10.98

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 5.98 days.

This question belongs to: Maths Time and Work

Question #386

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A can complete a work in 21 days and B in 38 days. If both work together, in how many days will the work be completed?

A. 13.53

B. 21.03

C. 16.03

D. 18.53

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Correct Answer: Option A

Explanation:
Combined rate = 1/21 + 1/38. Time = 13.53 days.

This question belongs to: Maths Time and Work

Question #387

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A can complete a work in 21 days and B in 42 days. After working together for 5 days, what percentage of work remains?

A. 64.29

B. 66.79

C. 71.79

D. 69.29

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/21+1/42))×100 = 64.29%.

This question belongs to: Maths Time and Work

Question #388

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

A. 55.0

B. 57.5

C. 52.5

D. 50.0

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Correct Answer: Option D

Explanation:
A share = (1/24) / (1/24+1/24) ×100 = 50.0%.

This question belongs to: Maths Time and Work

Question #389

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A can do a work in 21 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 10.73

B. 15.73

C. 8.23

D. 13.23

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Correct Answer: Option C

Explanation:
Combined time for full work multiplied by 0.75 = 8.23 days.

This question belongs to: Maths Time and Work

Question #390

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A can complete a work in 27 days and B in 44 days. If both work together, in how many days will the work be completed?

A. 24.23

B. 19.23

C. 16.73

D. 21.73

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Correct Answer: Option C

Explanation:
Combined rate = 1/27 + 1/44. Time = 16.73 days.

This question belongs to: Maths Time and Work

Question #391

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A can complete a work in 10 days and B in 20 days. After working together for 5 days, what percentage of work remains?

A. 30.0

B. 25.0

C. 32.5

D. 27.5

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Correct Answer: Option B

Explanation:
Remaining work = (1 - 5*(1/10+1/20))×100 = 25.0%.

This question belongs to: Maths Time and Work

Question #392

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

A. 57.5

B. 50.0

C. 55.0

D. 52.5

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Correct Answer: Option B

Explanation:
A share = (1/30) / (1/30+1/30) ×100 = 50.0%.

This question belongs to: Maths Time and Work

Question #393

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A can do a work in 13 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 9.23

B. 14.23

C. 6.73

D. 11.73

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Correct Answer: Option C

Explanation:
Combined time for full work multiplied by 0.75 = 6.73 days.

This question belongs to: Maths Time and Work

Question #394

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A can complete a work in 33 days and B in 21 days. If both work together, in how many days will the work be completed?

A. 20.33

B. 15.33

C. 12.83

D. 17.83

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Correct Answer: Option C

Explanation:
Combined rate = 1/33 + 1/21. Time = 12.83 days.

This question belongs to: Maths Time and Work

Question #395

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A can complete a work in 16 days and B in 32 days. After working together for 5 days, what percentage of work remains?

A. 60.62

B. 58.12

C. 55.62

D. 53.12

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/16+1/32))×100 = 53.12%.

This question belongs to: Maths Time and Work

Question #396

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A and B work together. A alone can complete the work in 18 days and B alone in 36 days. What percentage of the total daily work is contributed by A?

A. 71.67

B. 66.67

C. 69.17

D. 74.17

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Correct Answer: Option B

Explanation:
A share = (1/18) / (1/18+1/36) ×100 = 66.67%.

This question belongs to: Maths Time and Work

Question #397

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A can do a work in 19 days and B in 17 days. In how many days will they complete 75% of the work together?

A. 14.23

B. 9.23

C. 11.73

D. 6.73

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Correct Answer: Option D

Explanation:
Combined time for full work multiplied by 0.75 = 6.73 days.

This question belongs to: Maths Time and Work

Question #398

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A can complete a work in 16 days and B in 27 days. If both work together, in how many days will the work be completed?

A. 17.55

B. 12.55

C. 10.05

D. 15.05

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Correct Answer: Option C

Explanation:
Combined rate = 1/16 + 1/27. Time = 10.05 days.

This question belongs to: Maths Time and Work

Question #399

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A can complete a work in 22 days and B in 44 days. After working together for 5 days, what percentage of work remains?

A. 73.41

B. 70.91

C. 65.91

D. 68.41

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Correct Answer: Option C

Explanation:
Remaining work = (1 - 5*(1/22+1/44))×100 = 65.91%.

This question belongs to: Maths Time and Work

Question #400

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A and B work together. A alone can complete the work in 24 days and B alone in 26 days. What percentage of the total daily work is contributed by A?

A. 54.5

B. 57.0

C. 52.0

D. 59.5

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Correct Answer: Option C

Explanation:
A share = (1/24) / (1/24+1/26) ×100 = 52.0%.

This question belongs to: Maths Time and Work

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