PE 2 - Time & Work | Arithmetic - Time & Work
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10 horses and 15 cows eat grass of 5 acres in a certain time. How many acres will feed 15 horses and 10 cows for the same time , supposing a horse eats as much as 3 cows.
- (a)
40/7
- (b)
39/8
- (c)
40/11
- (d)
55/9
Solution
Discuss
ReportA man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 4 men and 5 women to do the work in 2 days?
- (a)
16
- (b)
13
- (c)
15
- (d)
None of these
A group of workers engaged in plastering a wall completed half of the work on one day and quarter of the remaining work on the next day. If still 60 square meters of the wall remained to be plastered, find the area of the wall.
- (a)
160 sq.m.
- (b)
120 sq.m.
- (c)
125 sq.m.
- (d)
None of these
A number of men undertook to dig a ditch and could have finished the job in 14 hours, if they had all begun working simultaneously. But only one of them starts working. A 2nd person starts working after x hours. 3rd person starts working x hours after 2nd person starts working. Similarly each successive person starts working x hours after the previous worker starts. After the last worker had begun working the job was finished in x hours, each one of the participants working till the completion of the job. How long did they work, if the first worker to begin worked 6 times as long as the last one to begin?
- (a)
18 hours
- (b)
25 hours
- (c)
24 hours
- (d)
30 hours
A tank can be filled in 30 minutes by 20 pumps. If five pumps go out of order, what time will be taken by the remaining pumps?
- (a)
40 mins
- (b)
38 mins
- (c)
32 mins
- (d)
30 mins
Two pipes can separately fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is 3/4th full, a leak develops in, through which one-fourth of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
- (a)
18 hours
- (b)
14 hours
- (c)
15 hours
- (d)
13 hours
An empty cistern has three taps A, B and C. A and B can fill it in 3 and 4 hours respectively and C can empty it in six hours. If the taps C, B and A are opened at 1 p.m., 2 p.m. and 3 p.m. respectively, find when will the cistern be filled (approximately)?
- (a)
4 p.m.
- (b)
5 p.m.
- (c)
6 p.m.
- (d)
7 p.m.
3 men and 4 boys do a piece of work in 8 days, while 4 men and 4 boys finish it in 6 days. 3 men and 6 boys will finish it in :
- (a)
8 days
- (b)
10 days
- (c)
12 days
- (d)
14 days
In a military camp there is sufficient food supply for 200 soldiers for 40 days. After 10 days, certain number of men join and everyone eats 50% more than earlier. Now the food lasts for another 10 days. How many soldiers joined the camp after 10 days?