Question
A man travels x km downstream and the same distance
upstream in 11 hours. He can row 3x km downstream in 6 hours. Find the time required to row x km upstream.Solution
Let the downstream speed of the boat be ‘a’ km/hr According to the question, (3x/a) = 6 Or, (x/a) = (6/3) Or, (x/a) = 2 = time taken to travel ‘x’ km downstream Let the upstream speed of the boat be ‘b’ km/hr Also, (x/a) + (x/b) = 11 Or, 2 + (x/b) = 11 Or, (x/b) = 9 hours
Two pipes P and Q can fill a tank in 48 minutes and 64 minutes respectively. If both the pipes are opened simultaneously, after how much time Q should b...
Tap A and tap B can fill a tank in 20 hours and 25 hours respectively. If both the taps are opened together,then find the time after which tap B must be...
Pipes 'X' and 'Y' can fill a tank in 15 hours and 10 hours respectively, while pipe 'Z' can empty it in 30 hours. All pipes are opened together when the...
Pipe ‘M’ and pipe ‘N’ together can fill an empty tank in 30 hours while pipe ‘N’ and pipe ‘O’ together take 20 hours to fill the same ta...
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 7 hours while pipe ‘C’ takes 40 hours to empty it. ...
Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x – 10) hours. If the efficiency of pipe B is triple of pipe A and pipe A...
Pipe ‘A’ can fill a tank in 12 hours whereas pipe ‘B’ can empty it in 30 hours. If both pipes are opened together while pipe ‘B’ is closed a...
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 5 hours while pipe ‘C’ takes 40 hours to empty it. ...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 10 minutes and 12 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Pipe A fills a cistern in 6 hours, but pipe B can drain the full cistern in 9 hours. If both pipes operate together, how long will it take to fill the c...
Relevant for Exams:
