Problema Solution
Three pipes, A,B, and C, are often used two at a time to fill a tank. When A and B are used together, the tank is filled in 5 minutes. When either A and C or B and C are used together, the tank is filled in 3 minutes. How long would it take each pipe alone to fill the tank?
Answer provided by our tutors
5/a + 5/b =1
3/a + 3/c = 1
3/b +3/c =1
subtracting 2 from 3,
3/a - 3/b = 0
therefore a = b
using this in 1,
a = 10 hrs and b = 10 hrs
using this in 2nd equation,
3/10 + 3/c = 1
3/c = 1- .3 = .7
c = 3/.7 = 4.28 hrs