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- 51. A cistern is fille in 8 hours and it takes 12 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?
A.22 hours
B.21 hours
C.24 hours
D.23 hours
Answer & Explanation
Answer: Option C
Explanation:work done by 1 hour by filling pipe = 1/8
work done by 1 hour by the leak and the filling pipe =1/12
work done by 1 hour by the leak = 1/8 – 1/12 =1/24
Hence the leak can empty it in 24 hours.
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- 52. A and B working saperately can do a piece of work in 12 and 18 hours respectively. If they work for 6 hour alternately with B beginning, in how many hours will the work be completed?
A.9 hours
B.15 hours
C.13 ½ hours
D.12 ½ hours
Answer & Explanation
Answer: Option B
Explanation:A and B 2 hours work = 1/12 + 1/18 = 5/36
work done by A and B during 6 pairs
i.e 12 hours = 6 * 5/36 = 5/6
Remaining work = 1 – 5/6 = 1/6
1/6 of work and this work done by B only = 18* 1/6 = 3 hours
Hence the total time take is 15 hours
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- 53. A and B can do a piece of work in 48 days, A and C can do it in 60 days, b and c can do it 72 days. In what time can c alone do it?
A.84 days
B.84 ½ days
C.85 days
D.87 days
Answer & Explanation
Answer: Option C
Explanation:(A+B) 1 day work = 1/48
(B+C) 1 day work = 1/72
(A+C) 1 day work = 1/60
By adding 2(A+B+C) = 1/48 +1/72+1/60 = 37/720
(A+B+C) 1 day work = 37/1440
A 1 day work = 37/1440 – 1/72 = 17/1440 = 85 days (approximately)
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- 54. 8 boys complete a work in 14 days . In how many days will 14 boys complete that work?
A.14 days
B.7 days
C.8 days
D.6 days
Answer & Explanation
Answer: Option
Explanation:1 boy 1 day work = 14 × 8,
14 boys complete the work in 14 × 8/14= 8 days
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- 55. 16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 12 girls Will take to construct?
A.7 days
B.14 days
C.6 days
D.8 days
Answer & Explanation
Answer: Option C
Explanation:16 boys =24 girls, 1 boy = 24/16 girls
1 boy = 6/4 girls
8 boys + 12 girls = 8 × 6/4 + 12 = 12 + 12 = 24 girls
6 days to complete the work
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To whom this Time and Work Questions and Answers section is beneficial?
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