Problem setting: Two ships are sailing in the fog and are being monitored by tracing equipment. As they come into the observer's rectangular radar screen, one ship, the Rusty Tube, is at a point 900 mm to the right of the bottom left corner of the radar screen along the lower edge. The other ship, the Bucket of Bolts, is located at a point 100 mm above the lower left corner of that screen. One minute later, both ships' positions have changed. The Rusty Tube has moved to a position on the screen 3 mm left and 2 mm above its previous position on the radar screen. Meanwhile, the Bucket of Bolts has moved to a position 4 mm right and 1 mm above its previous location on that screen. Question: Assume that both ships continue to move at a constant speed on their respective linear courses. Using graphs and equations, find out if the two ship will collide. 
Why I like this question and some good questions.

Algebraic solution to original question
Rusty Tube's starting coordinates are (900,0).
Bucket of Bolts starting coordinates are (0,100).
Put the equations together and work out where on the xaxis their journeys will cross.
We do not need the value of y at this point for the problem, but it is:
Now find the time taken for each boat to get there and if they are the same they will collide. RT starts at 900 and travels horizontally x=3 each minute, so 545.45=9003t
BB starts at 0 and travels horizontally x=+4 each minute, so 545.45=0+4t
Since 118.18 \ne 136.36 , the boats will not collide. Answer adapted from Dan M 
One answer to getting the boats to collide:

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