A rectangular pool can be filled by two pipes together in 6 hours. The smaller pipe alone takes 5 hours longer than the larger pipe to fill the pool. Find them time each pipe will take to fill the pool on its own.
...WTF! Help pls
Question looks very familiar... TYS question is it?
Let the time taken by small pipe alone = Ts
Let the time taken by bigger pipe alone = Tb
Let Volume of pool = V
So
Rate of flow of small pipe = V/Ts
Rate of flow of bigger pipe = V/Tb
Get the equations out
Ts - Tb = 5
Ts = Tb + 5 ------------- (1)
V / ( V/Ts + V/Tb) = 6
TsTb / (Ts + Tb) = 6
Ts Tb = 6Ts + 6 Tb
Sub (1) in
Tb² + 5Tb = 6Tb + 30 + 6 Tb
Tb² - 7Tb - 30 = 0
Solving, Tb = 10 hours or -3 (reject)
Hence, Ts = 15 hours
More similar questions here
http://examworld.blogspot.com/search/label/O%20lvl%20EM%3A%20Ratio%20Rate%20Proportion
waaaaa! thanks
Originally posted by Only-Way-4-Destiny!:A rectangular pool can be filled by two pipes together in 6 hours. The smaller pipe alone takes 5 hours longer than the larger pipe to fill the pool. Find them time each pipe will take to fill the pool on its own.
...WTF! Help pls
Lol, Relax. It's only February.
Originally posted by d3sT1nY:Lol, Relax. It's only February.
Should be
Relax, eagle is still around
Originally posted by eagle:Should be
Relax, eagle is still around
Eagle hovering around the forum looking for boys and girls to prey upon.