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  1. A pipe of diameter d can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d for doing the same job in :
    1. 5 minutes
    2. 10 minutes
    3. 20 minutes
    4. 80 minutes
Correct Option: B

As we know that ,

Time α
1
cross sectional area of the pipe

Time α
1
π
4

Time α
1

t2
=
(d1
t1(d2

[Being inversely related]
t2 = t1
d1
²
d2

t1 = 40 minutes, d1 = d, d2 = 2d
∴t2 = 40
d
²
2d

t2 = 40
1
²
2

Hence , t2 = 10 minutes



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