1. A can complete a piece of work in 16 days and B in 24 days. In what time they complete if they work together?
Ans: 9.6 days
2. A tap can fill a cistern in 8 minutes and another can fill it in 12 minutes. If both are opened simultaneously, find the time that the cistern will be full.
Ans: 4.8 min
Explanation:
3. If a pipe fills a tank in 15 minutes and a leak in the bottom empties it in 25 minutes, when both function simultaneously then in what time can the tank be filled?
Ans: 37.5 min.
Explanation:
4. A can reap a field in 8 days while A and B together can reap the same field in 6 days. In how many days will B alone can reap that field?
Ans: 24
Explanation:
5. 32 men can do a piece of work in 18 days. In how many days can 36 men do that work?
Ans: 16 days
6. Two pipes A and B can fill a tank in 4 and 5 hours respectively. A drain pipe C can empty a full tank in 8 hours. In what time can the tank be filled when all the three are open simultaneously?
Ans:
Explanation:
Ans: 12 days
Explanation
Total number of mandays = 15× 600 = 9000
Number of mandays completed = 5 × 600
= 3000
Remaining mandays = 9000 − 3000 = 6000
Number of soldiers = 600 − 100 = 500
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/0673465b-4062-10d6-9ea6-54b9a7958750.jpg)
Ans: 4 days
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/8e5273a3-a62a-3828-4dd0-1d7a98e44d07.jpg)
Ans: 7.5 minutes
Explanation:
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/c11b130d-5459-234b-605a-ed1204b6665c.jpg)
Ans: 25
Explanation:
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/3c319e1a-0ea4-c265-d628-9c0773687610.jpg)
Ans: 20 hours
Explanation:
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/0da04d99-3199-d605-cb3e-d9c3b9976627.jpg)
Ans: 5.6 days
Number of mandays completed in 5 days = 5 ×16 = 80
Remaining mandays = 192 − 80 = 112
Number of men available now = 16 + 4 = 20
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/d04aea47-8bab-01be-8383-91e49cbc9c34.jpg)
Ans:
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/10423e70-b1ed-3e01-8e80-3ad8d18cae88.jpg)
Ans: 15 days
Ans: 4
Explanation: Let the number of persons required to complete the work be 'x'
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/8b0d917c-ce8e-1429-7dad-4ceb965622db.jpg)
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/c9c37de2-4978-bb4b-9b25-5eb76ee3929d.jpg)
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/46ddc18c-39a1-7300-bebc-35eb89590380.jpg)
4 more men are required
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/9728e697-d9bd-a4e9-c5b1-e7aa6da836d9.jpg)
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/b7e47562-67dc-003a-993e-9dea8e840dc5.png)
Ans: 45
Explanation: Let the work take 'x' more days
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/37101931-77da-7a42-c44d-a160ed1ca641.jpg)
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/498b4899-be12-144d-e578-9a17c025bd98.jpg)
![](http://www.eenadupratibha.net/Content/PublishFiles/8B3DC3EC-1EB3-4040-9800-05B46E809933/ContentImages/6105dc39-3639-a589-0268-2811dd5c513c.jpg)
Ans: 112 Hours