Advertisements
Advertisements
प्रश्न
Sita can finish typing a 100 page document in 9 hours. Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?
Advertisements
उत्तर
\[\text{ Time taken by Sita to do the work = 9 hours } \]
\[\text{ Time taken by Mita to do the work = 6 hours } \]
\[\text{ Time taken by Rita to do the work = 12 hours } \]
\[\text{ Now, } \]
\[\text{ Work done by Sita } = \frac{1}{9}\]
\[\text{ Work done by Mita } = \frac{1}{6}\]
\[\text{ Work done by Rita } = \frac{1}{12}\]
\[ \therefore \text{ Work done by them together } = \frac{1}{9} + \frac{1}{6} + \frac{1}{12}\]
\[ = \frac{4 + 6 + 3}{36} = \frac{13}{36}\]
\[\text{ Thus, together they can do the work in } \frac{36}{13} \text{ hours } .\]
संबंधित प्रश्न
Complite the following table given that x varies directly as y .
| x | 4 | 9 | ... | ... | 3 | ... |
| y | 16 | ... | 48 | 36 | ... | 4 |
A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?
Aasheesh can paint his doll in 20 minutes and his sister Chinki can do so in 25 minutes. They paint the doll together for five minutes. At this juncture they have a quarrel and Chinki withdraws from painting. In how many minutes will Aasheesh finish the painting of the remaining doll?
A cistern can be filled by one tap in 8 hours, and by another in 4 hours. How long will it take to fill the cistern if both taps are opened together?
The cost of 12 quintals of soyabean is 36,000 rupees. How much will 8 quintals cost?
In a camp, there is enough flour for 300 persons for 42 days. How long will the flour last if 20 more persons join the camp?
It is given that l varies directly as m. Find l, when m is 33.
From the following table, determine if x and y are in direct proportion or not.
| x | 4 | 7 | 10 | 16 |
| y | 24 | 42 | 60 | 96 |
A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolates. Riya has 7.5 cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?
The students of Anju’s class sold posters to raise money. Anju wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. Could Anju’s class raise exactly Rs 2,000? If so, how many posters would they need to sell? If not, why?
