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Question
Water level in a well was 20 m below ground level. During rainy season, rain water collected in different water tanks was drained into the well and the water level rises 5 m above the previous level. The wall of the well is 1 m 20 cm high and a pulley is fixed at a height of 80 cm. Raghu wants to draw water from the well. The minimum length of the rope that he can use is ______.
Options
17 m
18 m
96 m
97 m
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Solution
Water level in a well was 20 m below ground level. During rainy season, rain water collected in different water tanks was drained into the well and the water level rises 5 m above the previous level. The wall of the well is 1 m 20 cm high and a pulley is fixed at a height of 80 cm. Raghu wants to draw water from the well. The minimum length of the rope that he can use is 17 m.
Explanation:
Height of the wall of the well = 1 m 20 cm = 1.20 m
Height of the pulley = 80 cm = 0.80 m
∴ Required minimum length of the rope
= (20 – 5 + 1.20 + 0.80) m
= (15 + 2) m
= 17 m
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