Correct Answer  Option 3 : 4 : 1
CONCEPT:

Kinetic energy (KE): The energy possessed by a body by virtue of its motion is called kinetic energy.
\(KE = \frac{1}{2}m{v^2}\)
Where m = mass of the body and v = velocity of the body
CALCULATION:
Given that:
Initial speed (u) = 10 m/s
Final speed (v) = 20 m/s
Let the total mass is m.
\(KE = \frac{1}{2}m{v^2}\)
The ratio of final KE to initial KE is given by:
\(Ratio = \frac{\frac{1}{2}mv^2}{\frac{1}{2}mu^2} = \frac{v^2}{u^2} =\frac{20^2}{10^2}=4:1\)