book Maths Puzzle Numerical Ability

a cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist average rate for the round trip in miles per hour.

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Graph the equations
1. xy= -6
2 x^2 + 9y^2 = 9
3. x = y^2 -2
Solve for x:

ln(7-x)+ln(3x+5)=ln(24x)