Diameter 8.12cm length 5.87cm circumference 29.95cm circumference 30.44cm convert kg
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Let pipe of larger diameter can fill the tank = x hrs
and pipe of smaller diameter can fill in = y hr
⇒ 26x + 80 = x² + 10x
⇒ x² + 10x – 26x – 80 = 0
⇒ x² – 16x – 80 = 0
⇒ x² – 20x + 4x – 80 = 0
⇒ x (x – 20) + 4 (x – 20) = 0
⇒ (x – 20) (x + 4) = 0
Either x – 20 = 0, then x = 20
or x + 4 = 0, then x = – 4 which is not possible
x = 20 and y = 10 + x = 10 + 20 = 30
Larger pipe can fill the tank in 20 hours and smaller pipe can fill in 30 hours.
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