PE 5 - Time & Work | Arithmetic - Time & Work
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An overhead water tank in a locality has certain amount of water in it. Additionally it receives some amount of water from municipal corporation on a daily basis. Each resident in the locality consumes a fixed amount of water every day. If there were 120 residents, the water would last for 50 days. Instead if there were 125 residents, the water would last for only 40 days. How long will the water last if there were 110 residents.
- (a)
110 days
- (b)
100 days
- (c)
90 days
- (d)
85 days
Solution
Discuss
ReportA work is done by 30 workers, not all of whom are equally efficient. Every day exactly 2 workers come for work, with no pair of workers working together twice. Even after all possible pairs have worked once, the work isn’t complete. Thus, all the 30 workers work together for three more days to finish the work. Find the number of days in which the whole work would finish, if all the workers worked together.
- (a)
31
- (b)
30
- (c)
29
- (d)
32
2 men & 3 women complete a task in 70 days. Each woman is at least twice as efficient as a man but not more than thrice that of a man. If 2 men and 6 women take ‘d’ days to complete the same task, find the range of values that ‘d’ can take.
- (a)
38.5 - 40
- (b)
35 – 40
- (c)
32.5 – 34
- (d)
38 – 40.5
A woman can do as much work in one day as a man can do in 3 days. A child does half the work in a day as a woman. An estate-owner hires 30 people with men, women and children in the ratio 4 : 6 : 5. He pays them ₹ 1120 everyday. Find the daily wages of a child.
- (a)
Rs. 15
- (b)
Rs. 10
- (c)
Rs. 20
- (d)
Rs. 30