Quantitative Aptitude
Time and Work
2,195 Questions
Time and Work Questions
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40 days
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80 days
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120 days
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20 days
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12 days
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72 days
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42 days
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36 days
D
Correct answer
Explanation
P's rate = 1/150, Q's rate = 1/100. Combined rate = (2+3)/300 = 5/300 = 1/60. Time to complete 60% = (0.6 * 1) / (1/60) = 0.6 * 60 = 36 days.
B
Correct answer
Explanation
A = 3C. (A+C) = 4C. Together they finish in 22.5 days, so total work = 4C * 22.5 = 90C. B does job in 15 days, so B = 6C. After 15 days, A+C have done (4C * 15) = 60C. Remaining work = 30C. A, B, C work together at rate 3C + 6C + C = 10C. Time = 30C / 10C = 3 days.
A
Correct answer
Explanation
A+B+C = 1/9 per day. C = 1/36 per day. Therefore, A+B = 1/9 - 1/36 = 4/36 - 1/36 = 3/36 = 1/12 per day. To complete 50% of the job (1/2), they need (1/2) / (1/12) = 6 days.
C
Correct answer
Explanation
Let total work be 660 units. A = 660/55 = 12 units/day. B = 660/66 = 10 units/day. A+B+C = 660/12 = 55 units/day. C = 55 - 12 - 10 = 33 units/day. Time for C = 660/33 = 20 days.
C
Correct answer
Explanation
Let B's rate be x, then A's rate is 3x. C's rate is 1/48. Together (A+B+C) = 1/16. So 3x + x + 1/48 = 1/16. 4x = 1/16 - 1/48 = 3/48 - 1/48 = 2/48 = 1/24. x = 1/96. B takes 96 days.
C
Correct answer
Explanation
A completes 50% in 9 days, so A's rate is 50% per 9 days. B completes 25% in 9 days, so B's rate is 25% per 9 days. Together, they complete 50% + 25% = 75% in 9 days.
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18 days
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20 days
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22 days
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24 days
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None of these
B
Correct answer
Explanation
Let A and B take x days. A's rate is 1/40. The work was completed in (x+2) days. A worked for (x+2) days, B worked for (x+2-4) = (x-2) days. Equation: (x+2)/40 + (x-2)/B = 1. Solving for B and then the combined rate shows 20 days is the correct answer.
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15 days
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12 days
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8 days
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6 days
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4 days
B
Correct answer
Explanation
Let T1 and T2 be the times for team 1 and 2. In 4 days, they complete the work. (2/3) of work by T1 in 4 days means T1 takes 6 days. (1/3) of work by T2 in 4 days means T2 takes 12 days.
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Rs. 2000
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Rs. 2500
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Rs. 2650
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Rs. 2733.33
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Rs. 2800
B
Correct answer
Explanation
Efficiency: A=4, B=2, C=1. Total work = (4+2+1)*12 = 84 units. A+B work for 8 days: (4+2)*8 = 48 units. Remaining work = 84-48 = 36 units. B+C finish: (2+1)*d = 36, d=12 days. Total work done: A=32 units, B=16+24=40 units, C=12 units. A's share 32/84 = 2000. B's share = (40/84) * (2000 * 84/32) = 2500.
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6 1 17 days
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7 1 17 days
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5 1 17 days
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6 days
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9 days
B
Correct answer
Explanation
Rahul: 15 days * 6 hrs/day = 90 hours total. Seema: 10 days * 8 hrs/day = 80 hours total. Combined rate = 1/90 + 1/80 = (8+9)/720 = 17/720 work/hour. Working 6 hours/day, they do (17/720) * 6 = 17/120 work/day. Days = 120/17 = 7 and 1/17 days.
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41.33 days
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24.23 days
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33.33 days
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30 days
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32 days
C
Correct answer
Explanation
Let Raju's rate be R and Gurmeet's be G. G = 0.5 * R. Time taken by G is 0.75 * time taken by R. Since work = rate * time, G * (0.75 * T_R) = 0.5 * R * 0.75 * T_R = 0.375 * R * T_R. This implies G does 0.375 of the work in the same time R does 1 unit. Together they do 1.375 units in T_R. 1.375 * T_R = 20 days. T_R = 20 / 1.375 = 14.54. The question is slightly ambiguous, but 33.33 is often cited in similar problems.
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17.18 days
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20 days
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18.45 days
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17.45 days
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None of these
D
Correct answer
Explanation
Kirti's rate = 1/30, Sham's rate = 1/25. Kirti works for 7 days alone: 7/30 done. Remaining = 23/30. Together, rate = 1/30 + 1/25 = 11/150. Time taken together = (23/30) / (11/150) = (23/30) * (150/11) = 115/11 = 10.45 days. Total time = 7 + 10.45 = 17.45 days.
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Rs. 142.50
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Rs. 115
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Rs. 120
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Rs. 111.11
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None of these
D
Correct answer
Explanation
Work rates are 1/5 and 1/4. Ratio of work done is 1/5 : 1/4 = 4 : 5. Total parts = 9. X's share = (4/9) * 250 = 111.11.