Respuesta :
If pipes A and B can fill a storage tank in 8 h and 12 h and pipe A was turned on at noon, and pipe B was turned on at 1:30 P.M, then the water tank will be full at 5:24 pm
What are Pipes and Cisterns w.r.t. mathematics?
Another type of time- and work-based inquiry is called "pipes and cistern." You could ask questions like how long it takes to fill or empty a tank, how much effort is involved, and other similar inquiries. There are two important points that a candidate should understand about such questions:
An inlet is a conduit that is linked to a tank to allow water to be added to it. This kind of work has been accomplished.
An exit is a conduit that is attached to empty the water from the tank. This shows that the task was done in an unfavourable manner. In the query, it may also be referred to as "leak."
How to solve?
Let t = the "on" time duration of pipe A
(t-1.5) = the "on" time of pipe B
Let the completed job = 1; (a full tank)
3t + 2(t-1.5) = 24(1)
3t + 2t - 3 = 24
5t = 24 + 3
t = 27/5
t = 5.4 hrs, which is 5 hrs + (.4*60) = 5 hrs, 24 min
Therefore, the tank will be full at 5:24 pm
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