Quantitative Aptitude
Time and Work
2,195 Questions
Time and Work Questions
C
Correct answer
Explanation
P efficiency = 1.3 * Q efficiency. P takes 23 days, so total work = 23 * 1.3 = 29.9 units. Q takes 29.9 / 1 = 29.9 days. Combined rate = 1.3 + 1 = 2.3. Time = 29.9 / 2.3 = 13 days.
A
Correct answer
Explanation
A takes 18 days. B is 20% more efficient, so B's rate is 1.2 times A's rate. Time taken by B = 18 / 1.2 = 15 days.
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$30$ days
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$32$ days
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$36$ days
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$25$ days
B
Correct answer
Explanation
Work = 8 * 40 = 320 man-days. New men = 8 + 2 = 10. Days = 320 / 10 = 32 days.
B
Correct answer
Explanation
6 men = 10 boys, so 1 man = 5/3 boys. 7 men + x boys = (7 * 5/3) + x = (35/3 + x) boys. Work done by 10 boys in 15 days = 150 boy-days. Work done by (35/3 + x) boys in 9 days = 9 * (35/3 + x) = 105 + 9x. Setting 105 + 9x = 150 gives 9x = 45, so x = 5.
B
Correct answer
Explanation
Ramu: 8 days (rate 1/8). Shyamu: 12 days (rate 1/12). Monu: 3/4 job in 12 days, so full job in 16 days (rate 1/16). Ramu works 2 days: 2/8 = 1/4 done. Remaining = 3/4. Shyamu and Monu rate = 1/12 + 1/16 = (4+3)/48 = 7/48. Time = (3/4) / (7/48) = (3/4) * (48/7) = 36/7 = 5.14.
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$35$days
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$36$days
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$38$days
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$40$days
B
Correct answer
Explanation
Total work is 210 men * 60 days = 12,600 man-days. After 12 days, 210 * 12 = 2,520 man-days are completed, leaving 10,080 man-days. With 70 more men, there are 280 men working, so 10,080 / 280 = 36 days.
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$6\dfrac {1}{2} days$
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$7\dfrac {1}{2} days$
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$8\ days$
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$6\ days$
B
Correct answer
Explanation
A's rate = 1/15, B's rate = 1/10. B works for 5 days: 5 * (1/10) = 1/2 work done. Remaining work = 1/2. A finishes 1/2 work at rate 1/15: (1/2) / (1/15) = 15/2 = 7.5 days.
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$10\ days$
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$10\dfrac {1}{5} days$
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$15\ days$
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$7\ days$
B
Correct answer
Explanation
A's rate is 1/14, B's rate is 1/21. Let total days be x. B works for x days, A works for x-3 days. (x-3)/14 + x/21 = 1. Multiply by 42: 3(x-3) + 2x = 42. 3x - 9 + 2x = 42, 5x = 51, x = 10.2 days.
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$10$ days
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$12$ days
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$15$ days
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$14$ days
C
Correct answer
Explanation
Work = Men * Days. 12 * 25 = 300 man-days. 20 * X = 300, so X = 300 / 20 = 15 days.
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Rs. $265$
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Rs. $275$
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Rs. $285$
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Rs. $295$
B
Correct answer
Explanation
Work rates: A = 1/7, B = 1/8. Together A+B = 15/56. In 3 days, they do 3 * 15/56 = 45/56 of the work. The boy does 1 - 45/56 = 11/56 of the work. Boy's share = (11/56) * 1400 = 11 * 25 = 275.
A
Correct answer
Explanation
If 2 workers do 1/2 the work in 30 days, they would do the whole work in 60 days. Thus, 1 worker takes 120 days. 3 workers will take 120/3 = 40 days.
D
Correct answer
Explanation
Using M1*D1 = M2*D2: 36 * 18 = 27 * D2. D2 = (36 * 18) / 27 = (4 * 18) / 3 = 4 * 6 = 24 days.
B
Correct answer
Explanation
Work = (Machines * Days) / Units. (4 * 6) / x = (M * 4) / 3x. 24/x = 4M/3x. 24 = 4M/3. M = 18.