Question 115

Water flows into a tank which is 200m long and 150m wide, through a pipe of cross-section $$0.3m \times 0.2m$$ at 20 km/hour. Then the time (in minutes) for the water level in the tank to reach 8cm is

Solution

Volume of water in time t to reach at 8 cm. height will be equal to volume of tank till height 8 cm.
hence volume of water in time t to reach at height 8 cm. =$$ .3\times .2\times \frac{2000}{6}\times$$( spped in per minute)
which is equal to volume of tank =$$ 200\times150\times \frac{8}{100}$$

equating both and after solving we will get t = 120 min.


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