Question : X can do a work in 3 days, Y can do three times the same work in 8 days, and Z can do five times the same work in 12 days. If they have to work together for 6 hours a day, then how much time will they take to complete the work?

Question : A gives B a head-start of 10 seconds in a 1500 m race and both finish the race at the same time. What is the time A takes (in minutes) to finish the race if the speed of B is 6 m/s?

Question : Taps A and B can fill a tank in 15 minutes and 10 minutes, respectively while tap C can empty the full tank in x minutes. If all three taps are opened together, the tank is filled completely in 8 minutes. Tap C alone will empty $\frac{3}{8}$ th part of the tank in:

Question : Pipes A and B can fill a tank in 18 minutes and $22 \frac{1}{2}$ minutes, respectively while pipe C can empty the full tank in 12 minutes. A and B are opened together for 6 minutes and then closed. Now C is opened. C alone will empty the tank in ____.

Question : Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long does it take to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm?