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Water flows into a reservoir which is 200m long and 150m wide, through
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08 Mar 2021, 00:00
08 Mar 2021, 00:00
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Question Stats:
35% (02:38) correct
64% (02:38) wrong based on 14 sessions
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Water flows into a reservoir which is 200m long and 150m wide, through a pipe of cross-section 30cm x 20cm at 20 kmph. In what time will the water level reach a height of 8m?
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200 hours
Re: Water flows into a reservoir which is 200m long and 150m wide, through
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08 Mar 2021, 03:20
08 Mar 2021, 03:20
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In such questions in Geometry, \(Time = \frac{Volume}{Rate * Area}\)
Volume of the cuboid (to get to a height of 8m) = 200 * 150 * 8 = 2,40,000 \(m^3\)
Rate = 20 km/hr = 20 * 1000 m /hr = 20000 m/hr
CSA Area of the pipe = 30 * 20 = 600 \(cm^2\) = \(\frac{600}{100 * 100} = \frac{6}{100} m^2\)
Therefore Time = \(\frac{240000}{20000 * \frac{6}{100}} = \frac{240000}{1200} = 200\) hours
Arun Kumar
Volume of the cuboid (to get to a height of 8m) = 200 * 150 * 8 = 2,40,000 \(m^3\)
Rate = 20 km/hr = 20 * 1000 m /hr = 20000 m/hr
CSA Area of the pipe = 30 * 20 = 600 \(cm^2\) = \(\frac{600}{100 * 100} = \frac{6}{100} m^2\)
Therefore Time = \(\frac{240000}{20000 * \frac{6}{100}} = \frac{240000}{1200} = 200\) hours
Arun Kumar
General Discussion
Re: Water flows into a reservoir which is 200m long and 150m wide, through
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21 Dec 2024, 09:26
21 Dec 2024, 09:26
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