Advertisements
Advertisements
Question
Two taps A and B can fill an overhead tank in 10 hours and 15 hours respectively. Both the taps are opened for 4 hours and they B is turned off. How much time will A take to fill the remaining tank?
Advertisements
Solution
Time taken by A to fill a tank = 10 hours
Quantity of tank filled by A in 1 hour = `1/10` units.
SImilarly, Quantity o tank filled by B in 1 hour = `1/15` units
Now, Quantity of tank filled by A and B together, in 1 hour = units `1/10 + 1/15 = 1/6` units.
Hence, Quantity of tank filled by A and B together, in 4 hours = `4 xx 1/6 = 2/3` units.
Quantity of tank left to be filled = `1 - 2/3 = 1/3`units.
Therefore, time taken by A to fill `1/3` units of tank = `1/3 * (10)`
`3 1/3` hours.
RELATED QUESTIONS
A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?
If 600 rupees buy 15 bunches of feed, how many will 1280 rupees buy?
The cost of 12 quintals of soyabean is 36,000 rupees. How much will 8 quintals cost?
Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?
If x = 5y, then x and y vary ______ with each other.
An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is ______.
When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.
The table shows the time four elevators take to travel various distances. Find which elevator is fastest and which is slowest.
| Distance (m) | Time (sec.) | |
| Elevator- A | 435 | 29 |
| Elevator- B | 448 | 28 |
| Elevator- C | 130 | 10 |
| Elevator- D | 85 | 5 |
How much distance will be travelled by elevators B and C separately in 140 sec? Who travelled more and by how much?
Here is a key board of a harmonium:
- Find the ratio of white keys to black keys on the keyboard.
- What is the ratio of black keys to all keys on the given keyboard.
- This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns.
The following table shows the distance travelled by one of the new eco-friendly energy-efficient cars travelled on gas.
| Litres of gas | 1 | 0.5 | 2 | 2.5 | 3 | 5 |
| Distance (km) | 15 | 7.5 | 30 | 37.5 | 45 | 75 |
Which type of properties are indicated by the table? How much distance will be covered by the car in 8 litres of gas?
