How can I solve for time in a pulley and ramp problem without a given variable?

[doowstados]

Homework Statement

A mass [itex]m{1}[/itex] = 5kg is on a frictionless ramp and connected to a cable that passes over a pulley which is then attached to a second hanging mass, [itex]m{2}[/itex] = 10kg. How long will it take the boxes to move 3m if they are released from rest?

[itex]F{A}[/itex]= Forces acting on hanging object
[itex]F{B}[/itex]= Forces acting on object on ramp

Homework Equations

F=ma

The Attempt at a Solution

I have solved for T using the force equation on object A and got T= -m1a + 98N

Then I substituted for T in the equation for object B and solved for acceleration, yielding:a=(98N-49sin[itex]\vartheta[/itex])/15

My biggest problem is, the book says the answer is 1.13 seconds. How can I solve in terms of seconds without another variable provided? I can't think of a way to use elimination to solve for [itex]\vartheta[/itex].

 

[Simon Bridge]

The image didn't come out.

But as to your question - assuming your are given the ramp angle - hint: kinematic equations.