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**1. Homework Statement**

Two stationary motorbikes at time 0s are separated by distance of 80m. Both motorbikes accelerate at a constant rate as the travel towards each other. Motorbike X accelerates at a rate of 4.6m/s2 . Motorbike Y accelerates at a rate of 2.4m/s2 . Calculate the amount of time that elapses until the two motorbikes reach a distance of separation of 24m. Recall that, for an initial velocity of 0, d = 0.5at2

**2. Homework Equations**

d = 0.5at^2

**3. The Attempt at a Solution**

I know the answer to this problem is 3.5s. I am just wondering how to find a general solution for this problem, meaning a equation or a combination of equations that when the equation is solved for "t", i am able to plug in different values and get the correct answer each time.

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