Question
A man rows a boat a certain distance downstream in 9
hours, while it takes 18 hours to row the same distance upstream. How many hours will it take him to row four-fifths of the same distance in still water?Solution
- Let the speed of boat in still water =B and speed of stream =S then Distance =D ATQ- 
         D=9(B+S)       … (1) 
       D=18(B-S)      … (2) Both directions distance is equal = 9(B+S) =18(B-S) 9B+9S=18B-18S 27S=9B S: B=1:3 =>B=3S So now- 
Two pipes A and B can fill a tank in 24 min., and 32 min, respectively. If both the pipes are opened simultaneously, after how much time B should be clo...
Pipe P can fill a tank in 5 hours, but pipe Q can empty it completely in 20 hours. If both are opened together, find the time needed to fill the tank.
Pipes ‘A’ and ‘B’ can fill a tank in 6 hours and 9 hours, respectively. If pipe ‘C’ is opened along with pipes ‘A’ and ‘B’, then the...
Pipe A can fill a tank in 45 minutes while pipe B can fill it in ____ minutes. There’s a leak in the tank which can empty it in _____minutes. When bot...
A tank has three pipes, X, Y, and Z. X can fill the tank in 8 hours, Y can fill it in 12 hours, and Z can empty it in 6 hours. If X, Y, and Z are opened...
A single tap takes 8 hours to fill the entire tank. Initially, only one tap is open, and it fills one-fourth of the tank. At that point, three additiona...
- Pipe 'A' is 5 times as efficient as pipe 'B'. Pipe 'C', which is one-fifth as efficient as pipe 'B', can fill a tank alone in 25 hours. Find difference bet...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 20 minutes and 10 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
With a bucket full of water, a tank can be filled with 16 buckets. When each bucket holds 12.5 liters of water, how many buckets of 10-liter capacity ca...
Pipes A and B can fill the tank in 16 and 20 hours respectively. Pipe C empties it in ‘x’ hours. If all are opened together, the tank gets filled in...
