Question

A plumber has two pipes. One pipe is 7 times as long as the other pipe. He cuts 2.2 meters from the longer pipe. The remaining length of this pipe is 3 times that of the shorter pipe. Find the length of the shorter pipe in meters.

Answer 1

Let the length of shorter pipe be x and longer pipe be y.
So A/Q-

y=7x -------eq(1) and y-2.2=3x --------eq(2)
y-7x=0 and y-3x=2.2

After eliminating y, with the help of these equation, we get,
-4x=-2.2
x=0.55 meter
Putting it into eq(2), we get,

y-2.2=1.65
y=2.2+1.65
y=3.85 meter

So, Length of longer pipe and shorter pipe are 3.85 m and 0.55 m respectively.