Math, asked by BilluGautam, 1 year ago

solve it urgently need urgently

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Answered by ritujain83
1
let the time taken by I tap to fill the cistern completely = x minutes.

thus, let the time taken by II tap to fill the cistern = (x + 5) minutes.

work done by tap I (in 1 min) = 1/x

work done by tap II (in 1 min) = 1/(x+5)

work don by tap I +work done by tap II in 1 minute = cistern filled in one minute = 1/6

thus the equation is 1/x + 1/(x+5) = 1/6.

6(2x+5) = x2 + 5x

12x + 30= x2 + 5x

x2 -7x -30= 0.

x2 +3x -10x -30 = 0.

x(x+3) -10(x+3) = 0.

time cannot be negative.

thus , x= 10.

thus, time taken by tap I = 10 minutes.

time taken by tap II = x+5 = 15 minutes.
HOPE THIS HELPS YOU.
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