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## Homework Statement

http://img261.imageshack.us/img261/9140/asdfjj6.jpg [Broken]

## The Attempt at a Solution

I've figured it out using a method I was previously taught, but it seems that according to the official answers, the motorcycle overtakes at 32.5seconds.

Here is what I did anyhow..

Motorcycle displacement = 100t - (850)

[The 850 came from the sum total of the triangle and the trapezium]

Car displacement = 80t - 650

[Similarly the 650 came from the sum total of the triangle and the trapezium]

Equating the two...

100t-850 = 80t-650

20t = 250

t = 12.5 seconds

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