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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 :
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- 5 minutes
- 10 minutes
- 20 minutes
- 80 minutes
- 5 minutes
Correct Option: B
As we know that ,
Time α | |
cross sectional area of the pipe |
Time α | |
d² | |
4 |
Time α | |
d² |
∴ | = | ||
t1 | (d2)² |
[Being inversely related]
t2 = t1 | ² | |||
d2 |
t1 = 40 minutes, d1 = d, d2 = 2d
∴t2 = 40 | ² | |||
2d |
t2 = 40 | ² | |||
2 |
Hence , t2 = 10 minutes