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In a road embankment work, the reduced level of formation bed at Zero m chainage is 107 m. The road is supposed to have a downward gradient of 1 in 100. Determine the reduced level of formation bed at 1000 m chainage 
  • a)
    107 m
  • b)
    97 m
  • c)
    100 m
  • d)
    117 m
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a road embankment work, the reduced level of formation bed at Zero ...
Given information:
- Reduced level of formation bed at Zero m chainage = 107 m
- Downward gradient of the road = 1 in 100

To determine:
- Reduced level of formation bed at 1000 m chainage

Explanation:

The downward gradient of 1 in 100 means that for every 100 units of horizontal distance, there is a 1 unit decrease in vertical distance.

We can use this information to calculate the change in reduced level over a given distance.

Step 1: Calculate the change in reduced level per unit distance.

Change in reduced level per unit distance = Gradient × Distance = 1/100 × 1000 = 10 m

This means that for every 1000 m of horizontal distance, there is a decrease of 10 m in vertical distance.

Step 2: Calculate the reduced level at 1000 m chainage.

Reduced level at 1000 m chainage = Reduced level at Zero m chainage - Change in reduced level

= 107 m - 10 m

= 97 m

Therefore, the reduced level of the formation bed at 1000 m chainage is 97 m (Option B).
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Community Answer
In a road embankment work, the reduced level of formation bed at Zero ...
Given data,
The reduced level of formation bed at Zero m chainage = 107 m
A downward gradient = 1 in 100
Hence, the reduced level of formation bed at 1000 m chainage is
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