Ques1- Alok worked on a set of mathematics problems for 20 min and finished 4/15 of it. He then called Asha. Working together, they finished the complete set in 22min. How long would Asha and Alok alone had taken to finish the set?
Ques2- Pipe A can fill tank in 3hrs. Pipe B can fill tank in 4hrs. An outlet pipe C can empty the tank in 6hrs. If all three pipes are kept open simultaneously, in how many hrs will the tank will be half full?
Ques3- Tap A fills tank in 2hrs. Outlet B and c can empty the tank in 4hrs and 6hrs respectively. If the tank is empty and A and B are turned on, hoe long will it take to fill up? After the tank A,B and C are all turned on. How long will the tank take to be empty?
Ques4- Tap A can fill a tank in 8min. Outlet B can empty the tank in 12min. If both are kept open,how long will it take to fill the tank?
1 ) Remaining task = 1- =
task takes time of Alok =20 min
1 task will take time =20 = 75 min. (ans)
Both took time to complete task = 22 min
And Alok alone took time to complete task = 75 - 20 = 55 min
Asha alone took time to complete task = x
So, we get
task takes time of Asha = min
1 task will take time = = 50 min. ( Ans )
2 ) Total work done to fill the tank by pipe A and B in 1 hr = + =
Work done by pipe C to empty the tank in 1 hr =
Work done to fill the tank in 1 hr = - =
Work done to fill half tank in 1 hr = 2 =
Time taken to fill the half tank when all thee pipes open = =1.2 hrs (ans)
3 ) Work done if A and B are open to fill the tank in 1 hr = - =
Time taken to fill the tank = 4 hrs (ans)
Work done if A, B, and c are open in 1 hr = - - =
Time taken to empty the tank = 12hrs (ans)
4 ) Work done by A and B in 1 hr =
Time taken to fill the tank = 24min (ans)