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Water runs along a canal 5 m wide and 2 m deep at 8 km per hour. For how many minutes must it run to irrigate 32 hectares of land to a standing depth of 10 cm? Take 1 hectare = .

Competition practiceAreas & Volumes
  • A48
  • B240
  • C2.4
  • D24

Step-by-Step Solution

The land measures , and 10 cm = 0.1 m deep needs of water. In one hour the canal delivers a block 5 m × 2 m × 8000 m = . Time = 32000/80000 = 0.4 hour = 24 minutes. (Ignoring the canal's 2 m depth halves the supply and gives 48 minutes; reading 10 cm as 1 m gives 240 minutes; taking a hectare as gives 2.4 minutes.)
Answer: D) 24

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