1. Salma's speed is 1 m/s more than Anik's speed. While running 180 meters, Salma reaches 2 seconds earlier than Anik. Calculate and write Anik’s speed in meters per second.

2. Salma's speed is more than Anik's speed by meters per second. While running 180 meters, Salma reaches the finish line 2 seconds earlier than Anik. Determine Anik's speed in meters per second using Sridharacharya's formula.

3. Salma's speed is 1 meter per second faster than Anik's speed. While running 180 meters, Salma reaches the finish line 2 seconds earlier than Anik. Determine Anik's speed per second.

4. Let Anik's speed be \(x\) meters per second.
∴ Salma's speed = \((x+1)\) meters per second
∴ Time taken by Anik to cover 180 meters = \(\cfrac{180}{x}\) seconds
Time taken by Salma to cover 180 meters = \(\cfrac{180}{x+1}\) seconds

According to the question, \(\cfrac{180}{x} - \cfrac{180}{x+1} = 2\)
Or, \(\cfrac{180(x+1-x)}{x(x+1)} = 2\)
Or, \(\cfrac{180}{x^2 + x} = 2\)
Or, \(\cfrac{90}{x^2 + x} = 1\)
Or, \(x^2 + x = 90\)
Or, \(x^2 + x - 90 = 0\)
Or, \(x^2 + 10x - 9x - 90 = 0\)
Or, \(x(x + 10) - 9(x + 10) = 0\)
Or, \((x + 10)(x - 9) = 0\)

∴ Either \(x + 10 = 0\), so \(x = -10\),
Or, \(x - 9 = 0\), so \(x = 9\)
Since speed cannot be negative,

∴ Anik's speed is \(9\) meters per second.