Time and Work MCQs with Answers and Detailed Solutions

Question #201

A can complete a work in 18 days and B can complete the same work in 28 days. If they work together, in how many days will the work be completed?

A. 14.96

B. 12.96

C. 10.96

D. 16.96

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Correct Answer: Option C

Explanation:
Combined rate = 1/18 + 1/28. Time = 1 ÷ combined rate = 10.96 days.

This question belongs to: Maths Time and Work

Question #202

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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. 11.48

D. 15.48

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Correct Answer: Option C

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

This question belongs to: Maths Time and Work

Question #203

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A can complete a work in 20 days and B can complete the same work in 30 days. If they work together, in how many days will the work be completed?

A. 18.0

B. 16.0

C. 14.0

D. 12.0

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Correct Answer: Option D

Explanation:
Combined rate = 1/20 + 1/30. Time = 1 ÷ combined rate = 12.0 days.

This question belongs to: Maths Time and Work

Question #204

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A can complete a work in 21 days and B can complete the same work in 31 days. If they work together, in how many days will the work be completed?

A. 16.52

B. 18.52

C. 14.52

D. 12.52

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Correct Answer: Option D

Explanation:
Combined rate = 1/21 + 1/31. Time = 1 ÷ combined rate = 12.52 days.

This question belongs to: Maths Time and Work

Question #205

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A can complete a work in 22 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?

A. 13.04

B. 15.04

C. 17.04

D. 19.04

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Correct Answer: Option A

Explanation:
Combined rate = 1/22 + 1/32. Time = 1 ÷ combined rate = 13.04 days.

This question belongs to: Maths Time and Work

Question #206

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A can complete a work in 23 days and B can complete the same work in 33 days. If they work together, in how many days will the work be completed?

A. 17.55

B. 19.55

C. 13.55

D. 15.55

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Correct Answer: Option C

Explanation:
Combined rate = 1/23 + 1/33. Time = 1 ÷ combined rate = 13.55 days.

This question belongs to: Maths Time and Work

Question #207

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A can complete a work in 24 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?

A. 16.07

B. 14.07

C. 20.07

D. 18.07

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Correct Answer: Option B

Explanation:
Combined rate = 1/24 + 1/34. Time = 1 ÷ combined rate = 14.07 days.

This question belongs to: Maths Time and Work

Question #208

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A can complete a work in 10 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed?

A. 6.0

B. 12.0

C. 8.0

D. 10.0

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Correct Answer: Option A

Explanation:
Combined rate = 1/10 + 1/15. Time = 1 ÷ combined rate = 6.0 days.

This question belongs to: Maths Time and Work

Question #209

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13 men can complete a work in 23 days. If 17 men work at the same rate, in how many days will the work be completed?

A. 19.59

B. 23.59

C. 17.59

D. 21.59

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Correct Answer: Option C

Explanation:
Total work = 13 × 23 = 299 man-days. Required days = 299/17 = 17.59 days.

This question belongs to: Maths Time and Work

Question #210

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14 men can complete a work in 24 days. If 18 men work at the same rate, in how many days will the work be completed?

A. 24.67

B. 22.67

C. 20.67

D. 18.67

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Correct Answer: Option D

Explanation:
Total work = 14 × 24 = 336 man-days. Required days = 336/18 = 18.67 days.

This question belongs to: Maths Time and Work

Question #211

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15 men can complete a work in 25 days. If 19 men work at the same rate, in how many days will the work be completed?

A. 23.74

B. 19.74

C. 25.74

D. 21.74

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Correct Answer: Option B

Explanation:
Total work = 15 × 25 = 375 man-days. Required days = 375/19 = 19.74 days.

This question belongs to: Maths Time and Work

Question #212

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16 men can complete a work in 26 days. If 20 men work at the same rate, in how many days will the work be completed?

A. 22.8

B. 26.8

C. 20.8

D. 24.8

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Correct Answer: Option C

Explanation:
Total work = 16 × 26 = 416 man-days. Required days = 416/20 = 20.8 days.

This question belongs to: Maths Time and Work

Question #213

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17 men can complete a work in 27 days. If 21 men work at the same rate, in how many days will the work be completed?

A. 23.86

B. 21.86

C. 25.86

D. 27.86

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Correct Answer: Option B

Explanation:
Total work = 17 × 27 = 459 man-days. Required days = 459/21 = 21.86 days.

This question belongs to: Maths Time and Work

Question #214

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18 men can complete a work in 28 days. If 22 men work at the same rate, in how many days will the work be completed?

A. 28.91

B. 26.91

C. 22.91

D. 24.91

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Correct Answer: Option C

Explanation:
Total work = 18 × 28 = 504 man-days. Required days = 504/22 = 22.91 days.

This question belongs to: Maths Time and Work

Question #215

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19 men can complete a work in 29 days. If 23 men work at the same rate, in how many days will the work be completed?

A. 27.96

B. 29.96

C. 25.96

D. 23.96

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Correct Answer: Option D

Explanation:
Total work = 19 × 29 = 551 man-days. Required days = 551/23 = 23.96 days.

This question belongs to: Maths Time and Work

Question #216

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8 men can complete a work in 12 days. If 12 men work at the same rate, in how many days will the work be completed?

A. 10.0

B. 8.0

C. 14.0

D. 12.0

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Correct Answer: Option B

Explanation:
Total work = 8 × 12 = 96 man-days. Required days = 96/12 = 8.0 days.

This question belongs to: Maths Time and Work

Question #217

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

A. 15.0

B. 11.0

C. 13.0

D. 9.0

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Correct Answer: Option D

Explanation:
Total work = 9 × 13 = 117 man-days. Required days = 117/13 = 9.0 days.

This question belongs to: Maths Time and Work

Question #218

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10 men can complete a work in 14 days. If 14 men work at the same rate, in how many days will the work be completed?

A. 14.0

B. 12.0

C. 10.0

D. 16.0

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Correct Answer: Option C

Explanation:
Total work = 10 × 14 = 140 man-days. Required days = 140/14 = 10.0 days.

This question belongs to: Maths Time and Work

Question #219

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

A. 17.0

B. 13.0

C. 15.0

D. 11.0

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Correct Answer: Option D

Explanation:
Total work = 11 × 15 = 165 man-days. Required days = 165/15 = 11.0 days.

This question belongs to: Maths Time and Work

Question #220

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12 men can complete a work in 16 days. If 16 men work at the same rate, in how many days will the work be completed?

A. 14.0

B. 12.0

C. 18.0

D. 16.0

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Correct Answer: Option B

Explanation:
Total work = 12 × 16 = 192 man-days. Required days = 192/16 = 12.0 days.

This question belongs to: Maths Time and Work

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