Water flows into a tank 200 m - 150 m through a rectangular pipe 1-5 m - 1-25 m at the rate of 20 km per hour In what time will the water rise by 2 metres-

The correct option is D 96 minVolume of the tank =200× 150× 2=60000m^3 Length of water column flow in 1 min = 20× 1000 60 = 1000 3 m Vol ...

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Standard VI

Mathematics

Volume of a Rectangular Box

Water flows i...

Question

Water flows into a tank $200$ m $\times$ $150$ m through a rectangular pipe $1.5 m \times 1.25$ m at the rate of $20$ km per hour In what time will the water rise by $2$ metres?

76

min

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80

min

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90

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96

min

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Solution

The correct option is D $96$ min
Volume of the tank $= 200 \times 150 \times 2 = 60000 m^{3}$
Length of water column flow in $1$ min $= \frac{20 \times 1000}{60} = \frac{1000}{3} m$
Volume of water flown per minute $= 1.5 \times 1.25 \times \frac{1000}{3} = 625 m^{3} / m i n$
$∴$ Time required to rise the water by $2 m = \frac{60000}{625} = 96 m i n$

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Water flows into a tank 200 m × 150 m through a rectangular pipe 1.5m×1.25 m at the rate of 20 km per hour In what time will the water rise by 2 metres?

The correct option is D 96 minVolume of the tank=200×150×2=60000m3Length of water column flow in 1 min=20×100060=10003mVolume of water flown per minute=1.5×1.25×10003=625m3/min∴Time required to rise the water by 2m=60000625=96min

Water flows into a tank $200$ m $\times$ $150$ m through a rectangular pipe $1.5 m \times 1.25$ m at the rate of $20$ km per hour In what time will the water rise by $2$ metres?