Water in a canal, 5.4 m wide and 1.8 m deep, is flowing with the speed of 25 km/h. How much area can it irrigate in 40 min. , if 10 cm of standing water is required for irrigation.
Answers
Answer: 1620000 sq.m or 162 hectares
Explanation is in the image.
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Answer:
1620000 m²
Step-by-step explanation:
Given,
Width of canal (b) = 5.4 m
height of canal (h) = 1.8 m
Speed of water = 25 km/h
Height of the water in the land for irrigation = 10 cm = 0.1 m
Now,
1 hr (60 mins) ---------> 25 km
40 mins ---------> x km
x = 25 × 40/60
= 25 × 2/3
= 50/3 km = 50000/3 m
Therefore the length (l) of the canal is 50000/3 m
Volume of the canal = l×b×h
= 50000/3 × 5.4 × 1.8
Area of the land for irrigation = 50000/3 × 5.4 × 1.8 × 0.1
= 50000/3 × 5.4 × 1.8 × 1/10
= 4860000/3
= 1620000 m².
Therefore, the area of land irrigated if 10 cm of standing water is required is 1620000 m².