Free Time and Work MCQs with Answers
120 Time and Work MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Problems measure work through rates, treating each person's or machine's contribution as work completed per unit time. Questions cover combined work, efficiency, wages, alternate working schedules, pipes and cisterns, and men-days relationships, with care needed to distinguish time taken by one worker from the time required when workers act together.
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120 questions · page 1 of 6
1. A can complete a job in 10 days and B in 15 days. Working together, how many days will they take?
- A. 5 days
- B. 6 days
- C. 8 days
- D. 12 days
Explanation: Work with rates, not days. A does 1/10 of the job per day and B does 1/15.
Correct answer: 6 days- A. 45 hours
- B. 47 hours
- C. 48 hours
- D. 50 hours
Explanation: The basic hourly rate is Rs. 20 / 40 hours = Rs. 0.50 per hour, so the overtime rate is Rs. 0.50 x 1.25 = Rs. 0.625 per hour.
Correct answer: 48 hours- A. 12
- B. 15
- C. 22
- D. 20
Explanation: P's rate is 1/15 job per day and Q's rate is 1/10 job per day. In 2 days they complete 2/15 + 2/10 = 1/3 of the job, leaving 2/3; P takes…
Correct answer: 12- A. 70
- B. 50
- C. 40
- D. 60
Explanation: Together, A and B complete 20 days x 1/30 job per day = 2/3 of the job in 20 days.
Correct answer: 60- A. 18 days
- B. 22 ½ days
- C. 24 days
- D. 26 days
Explanation: If B's rate is r jobs per day, A's rate is 3r jobs per day, so their times are 1/r days and 1/(3r) days.
Correct answer: 22 ½ days- A. 3 hrs.
- B. 4 hrs,
- C. 5 hrs.
- D. 6 hrs.Education
Explanation: Tap X fills 1/10 tank per hour and tap Y fills 1/15 tank per hour. Together their rate is 1/10 + 1/15 = 1/6 tank per hour, so the filling…
Correct answer: 6 hrs.Education- A. 12 days
- B. 14 days
- C. 16 days
- D. 18 days
Explanation: Since 3 men and 4 women do the same work in 43 days, 4 women have the work rate of 3 men, so one woman equals 3/4 of a man's rate.
Correct answer: 12 days- A. 1.8 days
- B. 1.5 days
- C. 1.2 days
- D. 1 day
Explanation: Six men working for 2 days provide 6 x 2 = 12 man-days to make 10 sofas, so each sofa requires 12/10 = 1.2 man-days.
Correct answer: 1.2 days- A. 1
- B. 5
- C. 10
- D. 25
Explanation: The original task uses 10 workers x 10 days = 100 worker-days to make 10 tables, so each table requires 10 worker-days.
Correct answer: 10- A. 2 men
- B. 12 men
- C. 9 men
- D. 18 men
Explanation: The total work is 6 men x 9 days = 54 man-days. To finish the same 54 man-days in 3 days requires 54/3 = 18 men.
Correct answer: 18 men- A. Rs.1104
- B. Rs.1000
- C. Rs.934
- D. Rs.1210
Explanation: Let one goat's daily cost be g rupees, so one cow's daily cost is 5g rupees.
Correct answer: Rs.1104- A. 50
- B. 30
- C. 40
- D. 13
Explanation: Let a man's rate be m jobs per day and a woman's rate be w jobs per day.
Correct answer: 40- A. 10 days
- B. 14 days
- C. 15 days
- D. 9 days
Explanation: P's rate is 1/20 job per day, while Q and R add 1/30 + 1/60 = 1/20 job per day on every third day.
Correct answer: 15 days- A. 10 min
- B. 20 min
- C. 30 min
- D. 40 min
Explanation: For the first 10 minutes, the two pipes fill 10 x (1/20 + 1/60) = 10/15 = 2/3 of the tank.
Correct answer: 20 min- A. 15 days
- B. 14 days
- C. 16 days
- D. 30 days
Explanation: A is three times as efficient as B, so A's time is one-third of B's time.
Correct answer: 15 days- A. 6 days
- B. 8 days
- C. 10 days
- D. 12 days
Explanation: If one man's rate is m jobs per day, each child's rate is m/2 jobs per day because a child takes twice as long.
Correct answer: 12 days17. 15 men can build a 500m long wall in 30 days. In how many days can 30 men build a 1.2 km long wall?
- A. 48 days
- B. 24 days
- C. 40 days
- D. 36 days
Explanation: The work is proportional to wall length and the number of man-days. For 500 m, the work is 15 men x 30 days = 450 man-days, so for 1,200…
Correct answer: 36 days- A. 24 days
- B. 14 days
- C. 15 days
- D. 20 days
Explanation: The total work is 28 men x 15 days = 420 man-days. Therefore, 21 men need 420 man-days ÷ 21 men = 20 days.
Correct answer: 20 days- A. 10 days
- B. 12 days
- C. 8 days
- D. 9 days
Explanation: C completes half the work in 6 days, so C's rate is 1/12 of the work per day; in 4 days C completes 4/12 = 1/3 of the work, leaving 2/3.
Correct answer: 10 days- A. Rs.40
- B. Rs.70
- C. Rs.90
- D. Rs.100
Explanation: Let the daily earnings of P, Q and R be p, q and r rupees per day. From the data, p + q + r = Rs.1620 ÷ 9 days = Rs.180 per day, p + r =…
Correct answer: Rs.70Time and Work MCQs: common questions
Are these Time and Work MCQs free?
Yes. All Time and Work MCQs from Mathematics are free on TestUstad, with unlimited attempts and no account needed. Nothing on this page is a sample or a trial.
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There are 120 Time and Work MCQs in the Mathematics bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Time and Work MCQ have an explanation?
Yes. Each Time and Work question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
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