A) \( \Large 1\frac{14}{23} \) |
B) \( \Large 2\frac{14}{23} \) |
C) 2 h 40 min |
D) 1 h 56 min |
B) \( \Large 2\frac{14}{23} \) |
Part of tank filled by first tap in 1 h = \( \Large \frac{1}{3} \)
Part of tank filled by second tap in 1 h = \( \Large \frac{1}{4} \)
Part of tank emptied by third tap in 1 h = \( \Large \frac{1}{5} \)
Part of the tank filled by all pipes opened simultaneously in 1 h
= \( \Large \frac{1}{3} \) + \( \Large \frac{1}{4} \) - \( \Large \frac{1}{5} \)
= \( \Large \frac{20+15-12}{60} \) = \( \Large \frac{23}{60}\)
Time taken by all the taps to fill the tank when it is empty
= \( \Large \frac{60}{23} \)h = \( \Large 2\frac{14}{23} \) h