Question
The ratio of two numbers is 4:7. If each number is
decreased by 4, the ratio becomes 5:9. Find the smaller numbers.Solution
Let the two numbers be 4x and 7x. => (4x-4)/(7x-4) = 5/9 => 36x – 36 = 35x – 20 => x = 16 The smaller numbers = 4 × 16 = 64
An inlet can fill an empty tank in 7 hours whereas an outlet pipe can empty it in 14 hours. If (N - 1) such outlet pipes having same efficiency and (N +...
- Pipes D and E alone can fill a tank in 5 hours and 3 hours respectively. When both pipes along with pipe F, an outlet pipe, are opened together, 1/2 of the...
Pipe P can fill half of the tank in 8 hrs 5 min and pipe Q can fill the same tank completely in 16 hrs 5 min. Another pipe R can empty the full tank in ...
Pipe ‘A’ can fill a tank in 60 hours whereas leak ‘A’ can empty it in 70 hours. If they both operate along with pipe ‘B’, then the given tan...
Pipe ‘A’ can fill a tank in 15 hours while pipe ‘B’ can empty it in 45 hours. They were operated on alternate hours starting with pipe ‘A’. ...
Tap A and Tap B fill a drum of volume 648 liters in 12 minutes. If their efficiencies are in the ratio x:y respectively and B alone takes to fill the c...
Pipe 'M' and 'N' can fill a tank in 2 hours and 1 hour 20 minutes respectively. 'M' is opened alone. After 30 minutes, 'M' is closed and 'N' is opened....
Pipe A can fill a tank in 24 minutes, Pipe B can fill it in 36 minutes and Pipe C can empty it in 48 minutes. All three pipes are opened together, but P...
Pipe 'A' fills half tank in 25 minutes. Pipe 'B' is 3 times as efficient. What percentage of the tank is filled by both in 10 minutes?
Pipe A can fill the tank in 20 hours. Pipe A and B together can fill it in 10 hours. Pipe B and C together can fill it in 8 hours. In how many hours wil...
Relevant for Exams:
