Multiple Pullys and determing Tension

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Multiple Pulleys and determing Tension Dynamics

So i started out with the the equation for the tension of the block-pulley system on the far left in the y direction being: 2T-2g = 2*a1
the equation for the middle block-pulley system is: 2T-2g = 3*a2
the equation for the block on the ramp is: T - 20*9.8*sin60 = 20a3

I need an equation to relate the three accelerations using conservation of string but i do not know how to write it.
 

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I am studying for a midterm and this is a question from a previous years midterm the answer is d, but i do not know how to get it.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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