Problema Solution
A small pipe can fill an oil tank in 15 minutes more time than it takes a larger pipe to fill
the same tank. Working together, both pipes can fill the tank in 10 minutes. How long
would it take each pipe, working alone, to fill the tank?
Answer provided by our tutors
Let
x = the time the large pipe needs to fill the tank
1/x tanks per minute is the rate of the large pipe
x + 15 = the time the large pipe needs to fill the tank
1/(x + 15) tanks per minute is the rate of the large pipe
1/10 is the together rate
1/x + 1/(x + 15) = 1/10
........
click here to see equation solved for x
........
x = 15 min
The large pipe needs 15 minutes to fill the tank wile the small pipe needs 15 + 15 = 30 min to fill the tank.