Problema Solution
two pumps can fill a water tank in 256 minutes when working together. alone, the second pump takes 4 times as long as the first to fill the tank.
How many minutes would it take the first pump to fill the tank?
Answer provided by our tutors
Let , the time required for the first pump to fill the tank alone
So, time required for the 2nd pump to do it alone = 4X
Now, let the full tank = 1
Each pump will do a fraction of the job and will equal 1 when added together
256/X + 256/ 4X = 1
Or, [(256*4)+256]/4X =1
Or, 1024 + 256 = 4x
Or, 4X = 1280
Or, X = 320
So, the first pump will take 320 minutes to fill up the tank.