SOLUTION: A tank can be fully filled with water using a pipe that fills 20 litres in a minute. A bigger pipe that can fill 25 litres in a minute will take one minute less to fill the same ta

Question 388892: A tank can be fully filled with water using a pipe that fills 20 litres in a minute. A bigger pipe that can fill 25 litres in a minute will take one minute less to fill the same tank. How many minutes does the smaller pipe take to fill the tank?
Found 2 solutions by mananth, jrfrunner:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Time small pipe - time big pipe = 1 minute
...
Let x be the capacity of tank in liters
x/20-x/25= 1
(5x-4x)/100 =1
x= 100 liters
...
m.ananth@hotmail.ca
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
let t=time for smaller pipe to fill tank
let t-1 =time for larger pipe to fill tank
let c=tank capacity
==
Given
small pipe rate = 20 liters per minute
large pipe rate=25 liters per minute
==
use formula: tank capacity=rate * time
--
small pipe; tank capacity c=20*t
large pipe: tank capacity c=25*(t-1)
--
since tank capacity is the same for both pipes
20*t=25*(t-1)
20*t=25*t-25
25=5*t
5=t
--
answer: it takes the small pipe 5 minutes to fill the tank

RELATED QUESTIONS
A small pipe fills a water tank in x minutes, whereas a larger pipe fills the same tank... (answered by josmiceli)
an empty tank can be filled with water in 20 mins using Pipe A or in 30 mins by Pipe B... (answered by mananth)
using pipe A, a pool can be filled with water (answered by ikleyn)
a water tank can be filled in 20 hours by an inlet pipe and emptied in 25 hours by an... (answered by stanbon)
A water tank can be filled in 20 hours by an inlet pipe and emptied in 25 hours by an... (answered by Alan3354,ikleyn)
it takes 6.5 hours to fill a large tank with oil using Pipe a. using both pipe a and b,... (answered by richwmiller)
With 2 inflowing pipes open, a water tank can be filled in four hours. if the larger pipe (answered by ikleyn,greenestamps)
An inlet pipe can fill a water tank in... (answered by rwm)
One pipe can fill a tank in 3 hours. With a second pipe also in operation the tank can be (answered by lwsshak3)