Question
Two paths of width 5 metres are to be made in the centre
of rectangular field such that they are perpendicular to each other. Find the area (in m2) of the field left after making the path if A can complete a round of the field along its boundary in 12 seconds while travelling with a speed of 6.5 m/s and difference between length and breadth of the field is 5 metres.Solution
Let length of the field is βlβ metres Breadth of the field = βl β 5β metres So, 2 Γ (l + l β 5) = 12 Γ 6.5 = 78 So, 2l β 5 = 39 Or, 2l = 44 So, l = 22 metresΒ And b = 22 β 5 = 17 metres Desired area = 22 Γ 17 β {22 Γ 5 + 17 Γ 5 β 5 Γ 5} = 374 β 170 = 204 m2
Two taps A and B can fill a cistern in 12 min and 16 min respectively. If both taps are opened together and at the end of 4 min, B tap is turned off, th...
A tank can be filled by two pipes, A and B, in 15 minutes and 20 minutes, respectively. Both pipes are opened together, but after 5 minutes, pipe A is c...
A tank has two inlet pipes and one outlet pipe. Pipe A can fill the tank in 4 hours, and Pipe B can fill it in 6 hours. The outlet pipe C can empty the ...
In what time would a Cistern be filled by three pipes whose diameter are 2cm, 8/3cm and 4cm running together, where the largest pipe alone fill it in 18...
Pipe βAβ takes 25 minutes to fill a tank. Pipe βBβ takes 40 minutes to empty the same tank. If pipe βBβ is opened 16 minutes after pipe βA...
Pipe βAβ takes 20 minutes to fill a tank. Pipe βBβ takes 35 minutes to empty the same tank. If pipe βBβ is opened 17 minutes after pipe βA...
- An inlet pipe can fill an empty tank in 45 minutes whereas an outlet pipe can empty the fully filled tank in 60 minutes. Find the time taken by both the pi...
Pipe 'A' alone takes 12 minutes to fill half the tank. Pipe 'B' is twice as efficient. What percentage of the tank is filled by both in 6 minutes?
Pipe βXβ and pipe βYβ can fill a tank in 30 hours and 45 hours respectively. Pipe βZβ is 20% more efficient than pipe βXβ. If pipe βYοΏ½...
Pipe L can fill a pool in 30 hours and pipe M in 45 hours. If both the pipes are opened in an empty pool, how much time will they take to fill it?
