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Water level in a well was 20 m below ground level. During rainy season, rainwater 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 lm 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope he would need.?
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Water level in a well was 20 m below ground level. During rainy season...
Solution:

Given data:

Water level in the well = 20 m below ground level

Water level after the rainy season = 5 m above the previous level

Height of the wall of the well = 1 m 20 cm

Height of the pulley = 80 cm

To find: The minimum length of the rope required to draw water from the well

Calculation:

Total height of the well = Height of the wall + Height of the pulley

= 1 m 20 cm + 80 cm

= 2 m

New water level after the rainy season = 20 m - (-5 m) = 25 m

Height of the water from the pulley = Total height of the well - New water level

= 2 m - 25 m

= -23 m

As the height of the water from the pulley is negative, we need to take the absolute value of it.

So, the height of the water from the pulley = 23 m

The minimum length of the rope required to draw water from the well is the distance from the pulley to the water level added to the distance from the pulley to the ground level.

Minimum length of the rope = Height of the water from the pulley + Total height of the well

= 23 m + 2 m

= 25 m

Therefore, the minimum length of the rope required to draw water from the well is 25 meters.

HTML Bulleted List:

Given data:

  • Water level in the well = 20 m below ground level

  • Water level after the rainy season = 5 m above the previous level

  • Height of the wall of the well = 1 m 20 cm

  • Height of the pulley = 80 cm



Calculation:

  • Total height of the well = Height of the wall + Height of the pulley = 1 m 20 cm + 80 cm = 2 m

  • New water level after the rainy season = 20 m - (-5 m) = 25 m

  • Height of the water from the pulley = Total height of the well - New water level = 2 m - 25 m = -23 m

  • Height of the water from the pulley = 23 m (taking absolute value)

  • Minimum length of the rope = Height of the water from the pulley + Total height of the well = 23 m + 2 m = 25 m



Result: The minimum length of the rope required to draw water from the well is 25 meters.
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Water level in a well was 20 m below ground level. During rainy season...
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Water level in a well was 20 m below ground level. During rainy season, rainwater 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 lm 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope he would need.?
Question Description
Water level in a well was 20 m below ground level. During rainy season, rainwater 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 lm 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope he would need.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Water level in a well was 20 m below ground level. During rainy season, rainwater 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 lm 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope he would need.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water level in a well was 20 m below ground level. During rainy season, rainwater 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 lm 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope he would need.?.
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