Train A takes 24 seconds to cross a pole and 20sec to cross a man walking at the speed of 5.6 meter per second towards it. Train B travels 1 meter per second slower than train A and takes 25%. Less time than train need to cross a pole. If the speed of train B had been 7 meter per second less than the time taken by it to cross 114-meter-long platform is ‘5a’. Find the value of ‘a’.
Let the speed of the train A = y m/s Then the length of train ‘A’= 24*y = 24y mt. Relative speed of train A wrt man = (y+5.6) m/s Also length of the train A = (y+5.6)*20 = (20y+112) mt. So, 24y = 20y+112 Y=28 Speed of train A is 28 m/s. Speed of train B = 28-1 = 27m/s. Time taken by Train ‘B’ to cross pole = 24*0.75 = 18 sec So length of train ‘B’ = 18*27 =486mt. New speed of train ‘B’ = 27-7 = 20m/s Required time taken ‘B’ = (486+114)/20 = 30 seconds 5a=30sec a=6
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...
Tap ‘A’ and tap ‘B’ can fill a tank in 40 hours and 36 hours, respectively. If both taps are opened together, then find the time after which tap...
There are 6 inlet and (x-2) outlet pipes attached to a tank. Each inlet pipe takes 20 hours to fill the tank and each outlet pipe empties the fully fill...
A cistern has two pipes. One can fill it with water in 16 hours and other can empty it in 10 hours. In how many hours will the cistern be emptied if bo...
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 22 hours while pipe ‘B’ takes 25 hours to empty it. Pipe ‘A’ is opened alone when the tank was empty and after 1...
Pipe ‘A’ can fill 25% of a tank in 3 hours while pipe ‘B’ takes 30 hours to empty fully filled tank. Pipe ‘A’ is opened alone when the tank ...
Pipe L can empty the tank which is 45% filled in 9 hours. The time taken by pipe K and J together to fill an empty tank completely in 7.5 hours. Pipe J ...
Tap ‘A’ and tap ‘B’ can fill a tank in 42 hours and 30 hours, respectively. If both taps are opened together, then find the time after which tap...
Pipe ‘A’ can fill a tank in 30 hours while pipe ‘B’ can empty it in 40 hours. They were operated on alternate hours starting with pipe ‘A’. ...
