Book Maths Puzzle Geometry

What is the longest line you can draw a ruler on a piece of paper 20cm by 30cm?

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Book Other Question

A bullet train which is 40km/hr faster than the existing train will replace the existing train on an 850km journey. If the bullet train does the journey 3hours faster than the existing train, what are their speeds? if a, b and c are the roots of x^3 - 2x^2 + x +3 = 0 evaluate:

a^3 + b^3 + c^3


and a^5 + b^5 + c^5



pls help..

many thanks