Question

# Water flows in a tank $$150$$ m $$\times 100$$ m at the base, through a pipe whose cross-section is $$2$$ dm by $$1.5$$ dm at a speed of $$15$$km per hour. In what time, will the water be $$3$$ metres deep?

A
50 hours
B
150 hours
C
100 hours
D
200 hours

Solution

## The correct option is D $$100$$ hoursVolume of water discharged through the pipe $$=$$ Volume increase of the tankFirst, consider the pipe.Volume discharge through pipe $$=$$ $$\text{length}\times \text{breadth}\times \text{speed}\times \text{time}$$Let the time taken to fill the tank to $$3$$ m depth be $$t$$.Volume discharge through pipe, $$V=2\times 10^{-1}\times 1.5\times 10^{-1}\times 15\times 10^{3}\times t$$$$\Rightarrow$$ $$V=450t$$ cu. mNow consider the tankDepth of the tank $$=$$ $$3$$ mVolume of the tank $$V=150\times 100\times 3$$ cu. m$$\Rightarrow$$ $$V=450\times 100$$ Therefore, $$450t=450\times 100$$$$\Rightarrow$$ $$t=100$$ hoursTherefore, option C is correct.Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More