exam Maths Puzzle Numerical Ability

Prove that an isometry f is a translation if and only if there exist lines l and m that share a common perpendicular such that f=pl o pm (First Translation Theorem).

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I am not sure how to set up the equation or how to solve this word problem.

Elena bicycles 5km/h faster then Carlos. In the same time it takes Carlos to bicycle 39km, Elena can bicycle 54km. How fst does each bicyclist travel?
in need of help with:solve algebraically ln 2+ ln(x-6)=ln(x+2)