Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
\[\text{ When there is no leakage, the pipe can fill the cistern in 10 hours } . \]
\[\text{ Thus, the pipe can fill } \frac{1}{10}\text{ th part of the cistern in 1 hour .} \]
\[\text{ When there is leakage, the pipe can fill the cistern in 12 hours } . \]
\[\text{ Therefore, in case of leakage, the pipe can fill } \frac{1}{12}\text{ th part of the cistern in 1 hour } . \]
\[\text{ Thus, in one hour, due to leakge, } \left( \frac{1}{10} - \frac{1}{12} \right)\text{ th or } \frac{1}{60}\text{ th part of the cistern is emptied } . \]
\[\text{ Hence, the cistern will be emptied by the leakage in 60 hours } .\]
APPEARS IN
संबंधित प्रश्न
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the length of the shadow cast by another pole 10 m 50 cm high.
Complite the following table given that x varies directly as y .
| x | 3 | 5 | 7 | 9 |
| y | ... | 20 | 28 | ... |
68 boxes of a certain commodity require a shelf-length of 13.6 m. How many boxes of the same commodity would occupy a shelf length of 20.4 m?
The shadow of a pole with height of 8 m is 6 m. If the shadow of another pole measured at the same time is 30 m, find the height of the pole?
If C = kd
(i) what is the relation between C and d?
(ii) find k when C = 30 and d = 6
(iii) find C, when d = 10
By travelling at a speed of 48 kilometres per hour, a car can finish a certain journey in 10 hours. To cover the same distance in 8 hours, the speed of the car should be ______.
A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is ______.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Area of the walls of a room and the cost of white washing the walls.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the quantity of work.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Area of land and its cost.
