Question

A and B can fill a task in t hours . A and B individually can fill the task in (t+2) hours and (t+18) hours respectively . Find the value of t

Answer 1

Answer:

Step-by-step explanation:

Acc. To question

1/ t+2+1/t+18=1/t

t+18+t+12/(t+2)(t+18)=1/t

2t+20/t²+18t+2t+36=1/t

2t²+20t=t²+20t+36

t²+36=0

t(t+6)-6(t+6)

t-6=0

t=6

Answer 2

Answer:

t = 6

Step-by-step explanation:

According  To the question

1 /  t + 2 + 1 / t + 1 8 =1 / t

t + 1 8 + t + 1 2 /  ( t + 2 ) ( t + 1 8 ) = 1 / t

2 t + 2 0 / t² + 1 8 t + 2 t + 3 6 = 1 / t

2 t ²+ 2 0 t = t ² + 2 0 t + 3 6

t ² + 3 6 = 0

t ( t + 6 ) - 6 ( t + 6 )

t - 6 = 0

t = 6

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