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Question

The cross section of a swimming pool is a trapezium as shown n the adjacent diagram. The length of the pool is 200 m. Water is pumped into it through a pipe of cross section 1.2 m2 at a speed of 0.5 km/hr. Find the time needed to fill the pool completely.
477220_d180ae8b542b45fb8b1e1bc65cc33073.png

Solution
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Volume of pool=(Area of C.S )×L
=12(0.8+1.2)×2×200
=400
Vol of water in 1 hr=0.5×1.2
=500×1.2
=600
Time=400600=23 hrs =40 minutes

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The cross section of a swimming pool is a trapezium as shown n the adjacent diagram. The length of the pool is 200 m. Water is pumped into it through a pipe of cross section 1.2 m2 at a speed of 0.5 km/hr. Find the time needed to fill the pool completely.
477220_d180ae8b542b45fb8b1e1bc65cc33073.png
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